What is the ratio for Sin? O a trigonometric function that for an acute angle is the ratio between the leg adjacent to the angle when it is considered part of a right triangle and the hypotenuse O the trigonometric function that for an acute angle is the ratio between the leg opposite the angle when it is considered part of a right triangle and the hypotenuse O the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides O the trigonometric function that for an acute angle is the ratio between the leg opposite to the angle when it is considered part of a right triangle and the leg adjacent

What is the ratio for Sin? O a trigonometric function that for an acute angle is the ratio between the leg adjacent to the angle when it is considered part of a right triangle and the hypotenuse O the trigonometric function that for an acute angle is the ratio between the leg opposite the angle when it is considered part of a right triangle and the hypotenuse O the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides O the trigonometric function that for an acute angle is the ratio between the leg opposite to the angle when it is considered part of a right triangle and the leg adjacent

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.2: Trigonometry Of Right Triangles

Problem 1E: A right triangle with an angle is shown in the figure. a Label the opposite and adjacent sides of ...

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Height of a Tower A six-foot person walks from the base of a broadcasting tower directly toward the tip of the shadow cast by the tower. When the person is 132 feet from the tower and 3 feet from the tip of the shadow, the person’s shadow starts to appear beyond the tower’s shadow. (a) Draw a right triangle that gives a visual representation of the problem. Label the known quantities of the triangle and use a variable to represent the height of the tower. (b) Use a trigonometric function to write an equation involving the unknown quantity. (c) What is the height of the tower?
Similar Triangles and Trigonometric Functions Use the figure below. (a) Explain why ABC,ADE, and AFG are similar triangles. (b) What does similarity imply about the ratios BCAB,DEAD,andFGAF? (c) Does the value of sinA depend on which triangle from part a is used to calculate it? Does the value of sinA change when you use a different right triangle similar to the three given triangles? (d) Do your conclusions from part c apply to the other five trigonometric functions? Explain.
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 ______________.
Angle of Elevation The height of an outdoor basketball backboard is 1212 feet, and the backboard casts a shadow 17 feet long. (a) Draw a right triangle that gives a visual representation of the problem. Label the known and unknown quantities. (b) Use a trigonometric function to write an equation involving the unknown angle of elevation. (c) Find the angle of elevation.
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.
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.