Solve each problem. Round measures of segments to the nearest wholenumber and angles to the nearest degree.1. Robert's kite is flying above a field at the end of 66m of string. If the angle ofelevation to the kite measures 71°, how high is the kite above Robert's head?2. The entrance of the old town library is 2.3 ft above ground level. A ramp fromthe ground level to the library entrance is scheduled to be built. The angle ofelevation from the base of the ramp to its top is to be 15°. Find the length ofthe ramp.3. To illuminate the entrance of an apartment building, a night light is mountedon a 6.6m pole. If the base of the pole is 24m from the entrance, find theangle of depression from the light.4. The angle of elevation from the bottom of the world's longest slide located inPeru, Vermont, is approximately 10.3°. The slide has a vertical drop of 821 ft.find the length of the slide.5. from a plane flying due east at 265 m above sea level, the angles ofdepression of two ships sailing due east measure 35° and 25°. How far apartare the ships?

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1. Robert's kite is flying above a field at the end of 66m of string. If the angle of elevation to the kite measures 71°, how high is the kite above Robert's head?

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

Solve each problem. Round measures of segments to the nearest whole
number and angles to the nearest degree.
1. Robert's kite is flying above a field at the end of 66m of string. If the angle of
elevation to the kite measures 71°, how high is the kite above Robert's head?
2. The entrance of the old town library is 2.3 ft above ground level. A ramp from
the ground level to the library entrance is scheduled to be built. The angle of
elevation from the base of the ramp to its top is to be 15°. Find the length of
the ramp.
3. To illuminate the entrance of an apartment building, a night light is mounted
on a 6.6m pole. If the base of the pole is 24m from the entrance, find the
angle of depression from the light.
4. The angle of elevation from the bottom of the world's longest slide located in
Peru, Vermont, is approximately 10.3°. The slide has a vertical drop of 821 ft.
find the length of the slide.
5. from a plane flying due east at 265 m above sea level, the angles of
depression of two ships sailing due east measure 35° and 25°. How far apart
are the ships?

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