a. If g = 153.70 mm and m = 170 mm, find y. a The radian measure of an angle is the length of the __________ that subtends the angle in a circle of radius _________. The steel weighs 490.3 pounds per cubic foot. Round sides to the nearest tenth and angles to the nearest degree. Use this information and the fact that the distance AB from the earth to the moon is 236,900 mi to find the radius of the moon. Using the calculator we get the following: Now, let's find the measures of the unknown angles in the triangle shown and round answers to the nearest degree. C = 98.10 3) csc 4) tan 5) tan 6) sec The roofline of a house shows the shape of a right triangle ABC with mC=90. Find the measures of the unknown acute angles. Your calculator screen should read \(\sin^{-1}\left(\dfrac{1}{2}\right)\) when you press ENTER. We have to solve this expression. Recall that in a right triangle, the acute angles are always complementary, so \(90^{\circ} 37^{\circ} =53^{\circ}\), so \(y=53^{\circ}\). Round to the nearest tenth. A: Given that t=2 If radius A = 360.00 mm and x = 480.00 mm, find y. b. now, View the full answer. We are answering only the first question as per our, A: Note : Since you have posted multiple questions, we will provide the solution only to the first, A: The function shown in the graph is vertically stretched by a factor of 8 This page titled 2.4.1: Inverse Trig Functions is shared under a CK-12 license and was authored, remixed, and/or curated by CK-12 Foundation via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. Now we can find B by subtracting \(m\angle A\) from \(90^{\circ}\): \(90^{\circ} 30^{\circ} =60^{\circ}\) since the acute angles in a right triangle are always complimentary. A: This question is based on Law of sines. Solve the following right triangles. Step 1: Determine which trigonometric ratio to use. Holt Mcdougal Larson Pre-algebra: Student Edition Algebra & Trigonometry with Analytic Geometry. The five most frequently used trigonometric angles in calculations are 0, 30, 45, 60, and 90. A: Some measures of triangle area given, we need to find out the other measures of the triangle. Using the figure and these given values, find the values of y. a. Solve the value of x. Round sides to the nearest tenth and angles to the nearest degree. a. Lessons Answers archive Click here to see ALL problems on Trigonometry-basics Question 1162422: Solve for x in the triangle. 14, Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole. Round the answer to 1 decimal place. A: Here we have to find the values of trigonometric ratios from the given triangle. A+B+C=180, A: Usingthelawofsineweget:asinA=csinC32sin(37)=40sinCsinC=40sin(37)32C=sin-140sin(37)32C=48.8,, A: Given the measurements of a possible triangle is as follows, a = 35 Step by stepSolved in 2 steps with 1 images, A: Solve the triangle by using law of sine Method 1: We can using trigonometry and the cosine ratio: \(\begin{aligned}\cos A&=\dfrac{5}{8} \\ m\angle A&=\cos^{-1} \left(\dfrac{5}{8}\right)\approx 51.3^{\circ}\end{aligned}\). Round to the nearest tenth, if necessary. To, A: Given trigonometric Equation A: Given. Expert Answer. Opposite side = 170 Step 1/1. Opposite side = 170 Round to the nearest tenth, if necessary. Find the weight of the forging. Round measures to the nearest degree. R T 61 59 , Holt Mcdougal Larson Pre-algebra: Student Edition 2012. The sector of a circle has an area of 231.3 sq in. A: Law of Sines Definition We can solve for either angle \(A\) or angle \(B\) first. Question: unit 8 homework 6 trigonometry review. If you would like to find more information about what I do or support my homework help project, see below:Facebook: https://www.facebook.com/TutoringByJoannaPatreon: https://www.patreon.com/homeworkHELP (monthly support)PayPal: https://paypal.me/joannablackwelder (one time support)Private online tutoring: Email me at joannalesson(at)gmail(dot)com for details or visit https://allen.universitytutor.com/tutors/99891 *FREE 30 minute trial online lesson available! The objective is to find the value ofCosB. The population growth function is given by, A: using the formulasfrom the question given herein terms of, A: tan negative 2nd and 4th quadrant You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Round the answer to the nearest tenth pound. b = 77 b=45,c=44,C=33 Let the distance, A: A right angle triangle is given whose sides are ; sin=22, A: We have, A: The degree of measure of an angle that is=300. In general, the law of sines is defined as the ratio of side length to the, A: We know that law of sine is : Each operation does the opposite of its inverse. Pre-Algebra. If g = 108 mm and m = 123 mm, find y. b. Round the answers to the nearest whole millimeter. Let's find the measure of angle \(A\) associated with the following ratios and round answers to the nearest degree. sin2+cos2=1 for any value of, If the angle of elevation to the sun is 74.3 when a flagpole casts a shadow of 22.5 feet, what is the height of the flagpole? and a central angle of 6515'. Start your trial now! For example: \(\sin^{-1}\left(\dfrac{1}{2}\right)=30^{\circ}\). All steps. Alexander, Daniel C.; Koeberlein, Geralyn M. Solve the value of x. 22 X 14. We are answering only the very first question as per our, A: we know the identity, We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Now, taking. Use the diagram to estimate the height of the tree. Multiple-choice. Solution for Solve the value of x. The idea is the same in trigonometry. Using the figure and these given values, find the values of y. b Find the area of the triangle. AC=b=30 b=sinBsinCxC Step by stepSolved in 3 steps with 6 images, A: Let the closest distance is denoted by c \(\begin{aligned}\sin B&=\dfrac{5}{8} \\ m\angle B&=\sin^{-1} \left(\dfrac{5}{8}\right)\approx 38.7^{\circ}\end{aligned}\). Accessibility StatementFor more information contact us atinfo@libretexts.org. BC=a=16 Round answers to the nearest degree. c = 89 \(\begin{aligned} 2^2+(2\sqrt{3})^2 &=c^2 \\ 4+12&=c^2 \\ 16&=c^2 \\ c&=4\end{aligned}\). 36. ent 2 K Find the exact value of each of the remaining trigonometric functions of 0. *Trigonometry (Trig)Precalculus (Pre-calculus)Grade 10 math (BC curriculum)Grade 11 math (BC curriculum)Grade 12 Precalculus (BC curriculum)#trigonometry #trigonometric #precalculus Round sides to the nearest tenth and angles to the nearest degree. Distance at Sea From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 23.How far is the ship from the base of the lighthouse? cos()+sin()=2sin(2), A: NOTE: Refresh your page if you can't see any equations. 103.5. 79.5 feet c. 83.1 feet d. 80.0 feet. Round side lengths to the nearest tenth and angles to the nearest degree. b To covert degrees to radians, we multiply by_______. Use your calculator to find the measure of \(\angle B\). Figure 18, On a baseball diamond a square, the bases are 90ft apart. The inverse trigonometric functions We already know about inverse operations. There are six trigonometric ratios: s i n e ( sin), c o s i n e ( cos), t a n g e n t ( tan), c. B = 52. Step by stepSolved in 3 steps with 2 images, A: for polynomial,p(x)=x3-3x2+9x+13 5 minutes. If you would like to find more information about what I do or support my homework help project, see below:Facebook: https://www.facebook.com/TutoringByJoanna. Base = 70, A: Since you have posted multipart questions i can do first three subparts with A and B as per our, A: We know that the polar and rectangular relation If we choose to solve for angle \(B\) first, then 8 is the hypotenuse and 5 is the opposite side length so we will use the sine ratio. Start 7-day free trial on the app. An amusement park ride the Octopus has eight support arms that are equally spaced about a circle. Solve the value of x. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. x = = 21. Finally, let's solve the right triangle shown below and round all answers to the nearest tenth. It has a larger base area of 58.30 square inches and a smaller base area of 40.0 square inches. A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. sinAa=sinBb=sinCc 55.0. The exponent over the variables should always be 1. Round sides to the nearest tenth and angles to the nearest degree. Solving for an angle given a trigonometric ratio. Final answer. Start 7-day free trial on the app. Round to the nearest tenth. The tangent function (tan), is a trigonometric function that relates the ratio of the length of the side opposite a given angle in a right-angled triangle to the length of the side adjacent to that angle. a = 24 , c = 16 and
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