A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 40,000 ft. The pilot would like to estimate her distance from the Gateway Arch. She finds that theangle of depression to a point on the ground below the arch is 22°. (Round your answers to the nearest foot.)(a) What is the distance between the plane and the base of the arch?ft(b) What is the distance between a point on the ground directly below the plane and the base of the arch?ftNeed Help?Read It Find the exact values of the six trigonometric ratios of the angle 0 in the triangle.2445sin(0) =cos(0)%3Dtan(0) =csc(0)sec(0) =cot(0)%3DNeed Help?Read It

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Answered: Find the exact values of the six…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.2: Trigonometric Functions Of Angles

Problem 20E

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Using your calculator and rounding your answers to the nearest hundredth, find the remaining trigonometric ratios of based on the given information. sin=0.23andQI
A right triangle with an angle is shown in the figure. a Label the opposite and adjacent sides of and the hypotenuse of the triangle. bThe trigonometric functions of the angle are defined as follows: sin=, cos=, tan= c The trigonometric ratios do not depend on the size of the triangle. This is because all right triangles with the same acute angle are ______________.
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.
a Let an acute angle in a right triangle. Identify the opposite side, the adjacent side, and the hypotenuse in the figure. b Define the six trigonometric ratios in terms of the adjacent and opposite sides and the hypotenuse. c Find the six trigonometric ratios for the angle shown in the figure. d List the special values of sine, cosine and tangent.
Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures.When side y=side r. a. What is the value of the sine function? b. What is the value of the cotangent function? c. What is the value of the cosine function? d. What is the value of the cosecant function?
Refraction When you stand in shallow water and look at an object below the surface of the water, the object will look farther away from you than it really is. This is because when light rays pass between air and water, the water refracts, or bends, the light rays. The index of refraction for water is 1.333. This is the ratio of the sine of 1 and the sine of 2 (see figure). (a) While standing in water that is 2 feet deep, you look at a rock at angle 1=60 (measured from a line perpendicular to the surface of the water). Find 2. (b) Find the distances x and y. (c) Find the distance d between where the rock is and where it appears to be. (d) What happens to d as you move closer to the rock? Explain.

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Find the exact values of the six trigonometric ratios of the angle 0 in the triangle. 24 45 sin(A) %3D cos(0) %3D tan(0) = csc(0) sec(0) %3D cot(0) = Need Help? Read It