The designers of a water park are creating a new slide and have sketched some preliminary drawings. The length of the ladder is /= 15 feet, and its angle of elevation is 60° (see figure). 60° (a) Find the height h of the slide. (Round your answer to two decimal places.) h = ft (b) Find the angle of depression 0 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. 0 = (c) Safety restrictions require the angle of depression of the slide to be no less than 25° and no more than 30°. Find an interval for how far a rider travels horizontally. (Round all numerical values to one decimal place. Enter your answer using interval notation.)

The designers of a water park are creating a new slide and have sketched some preliminary drawings. The length of the ladder is /= 15 feet, and its angle of elevation is 60° (see figure). 60° (a) Find the height h of the slide. (Round your answer to two decimal places.) h = ft (b) Find the angle of depression 0 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. 0 = (c) Safety restrictions require the angle of depression of the slide to be no less than 25° and no more than 30°. Find an interval for how far a rider travels horizontally. (Round all numerical values to one decimal place. Enter your answer using interval notation.)

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

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The designers of a water park are creating a new slide and have sketched some preliminary drawings. The length of the ladder is / = 15 feet, and its angle of elevation is 60° (see figure).
60°
(a) Find the height h of the slide. (Round your answer to two decimal places.)
h =
ft
(b) Find the angle of depression 0 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 of the slide to be no less than 25° and no more than 30°. Find an interval for how far a rider travels horizontally. (Round all numerical
values to one decimal place. Enter your answer using interval notation.)

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