The designers of a water park are creating a new slide and have sketched some preliminary drawings. The length of the ladder is I-45 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.) ft (b) Find the angle of depression θ from the top of the slide to the end of the slide at the ground in terms of the horizontal distance da 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.)

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.4: Applications
Problem 48PS: Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The...
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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 I-45 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.)
ft
(b) Find the angle of depression θ from the top of the slide to the end of the slide at the ground in terms of the horizontal distance da 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.)
Transcribed Image Text:The designers of a water park are creating a new slide and have sketched some preliminary drawings. The length of the ladder is I-45 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.) ft (b) Find the angle of depression θ from the top of the slide to the end of the slide at the ground in terms of the horizontal distance da 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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