**Problem:**Paula spots a glider located at an angle of elevation of 42°. The distance between the glider and Paula is 3280 feet. To the nearest foot, what is the height of the glider \( h \) from the ground? *Show your work.***Diagram Explanation:**The diagram depicts a right triangle. Paula is at one vertex, and the glider is at the opposite vertex, with the hypotenuse of the triangle representing the distance between them, labeled as 3280 feet. The angle of elevation from Paula to the glider is 42°, noted at Paula's position. The side opposite this angle is labeled \( h \), representing the height of the glider above the ground.**Solution Approach:**To find the height \( h \), we use the sine function, which relates the angle of elevation to the opposite side and the hypotenuse of a right triangle.\[\sin(42^\circ) = \frac{h}{3280}\]Solving for \( h \):\[h = 3280 \times \sin(42^\circ)\]Using a calculator, we find:\[h \approx 3280 \times 0.6691 \approx 2194 \text{ feet}\]Thus, the height of the glider \( h \) from the ground is approximately 2194 feet.

Answered: Image /qna-images/answer/9f23ad61-540c-43de-a225-669bf4d252b6.jpg

6. Paula spots a glider located at an angle of elevation of 42°. The distance between the glider and Paula is 3280 feet. To the nearest foot, what is the height of the glider h from the ground? Show your work. Paula 3280 ft 42° Glider

6. Paula spots a glider located at an angle of elevation of 42°. The distance between the glider and Paula is 3280 feet. To the nearest foot, what is the height of the glider h from the ground? Show your work. Paula 3280 ft 42° Glider

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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