help me solve these problems Question 10Use a half angle formula or formula for reducing powers to fill in the blanks in the identity below:(cos(5x))² =cos( Question 911Given the trianglefind the measure of angle A using the Law of Cosines. Picture is not221drawn to scaleA =degreesGive your answer accurate to at least one decimal place15/A

As per Bartleby guidelines rule I am answering only question number 9 as both question are different…

Answered: 11 Given the triangle find the measure…

11 Given the triangle find the measure of angle A using the Law of Cosines. Picture is not " 21 drawn to scale A = degrees Give your answer accurate to at least one decimal place 15/ A

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 3E

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Leaning Ladder A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72. How high does the ladder reach on the building?
Radius of the Moon As viewed from the earth, the angle subtended by the full moon is 0.518. 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.
Diameter of the Moon From the earth, the moon subtends an angle of approximately 0.5. If the distance to the moon is approximately 240,000 miles, find an approximation for the diameter of the moon accurate to the nearest hundred miles. (See Example 4 and the discussion that precedes it.)
The designers of a water park have sketched a preliminary drawing of a new slide (see figure). (a) Find the height h of the slide. (b) Find the angle of depression from the top of the slide to the end of the slide at the ground in terms of the horizontal distance d a rider travels. (c) Safety restrictions require the angle of depression to be no less than 25 and no more than 30. Find an interval for how far a rider travels horizontally.
Finding a Length In the figure, triangle ABC is a right triangle, CQ=6, and BQ=4. Also AQC=30 and CQB=45. Find the length of AQ. Hint: First use the Law of Cosines to find expressions for a2,b2,andc2.
Distances to Venus The elongation of a planet is the angle formed by the planet, earth, and sun see the figure. It is known that the distance from the sun to Venus is 0.723 AU see Exercise 71 in Section 5.2. At a certain time the elongation of Venus is found to be 39.4. Find the possible distances from the earth to Venus at that time in astronomical units AU.
Take this test as you would take a test in class. When you are finished, check your work against the answers given in the back of the book. A water sprinkler sprays water on a lawn over a distance of 25 feet and rotates through an angle of 130. Find the area of the lawn watered by the sprinkler.
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Refer to the figure below. a Find the angle opposite the longest side. b Find the area of the triangle.
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Take this test as you would take a test in class. When you are finished, check your work against the answers given in the back of the book. Consider an angle that measures 54 radians. (a) Sketch the angle in standard position. (b) Determine two coterminal angles (one positive and one negative). (c) Convert the radian measure to degree measure.
Distance to the moon To find the distance to the sun as in Exercise 67, we needed to know the distance to the moon. Here is a way to estimate the distance When the moon is seen at its zenith at a point A on the earth, it is observed to be at the horizon from point B see the following figure. Points A and B are 6155 mi apart, and the radius of the earth is 3960 mi. a Find the angle in degree. b Estimate the distance from point A to the moon.