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.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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