A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One rope is 125 feet long and makes an angle of 63° with the ground. The other rope is 115 feet long. What is the distance between the points on the ground at which the two ropes are anchored?

A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One rope is 125 feet long and makes an angle of 63° with the ground. The other rope is 115 feet long. What is the distance between the points on the ground at which the two ropes are anchored?

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

A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One rope is 125
feet long and makes an angle of 63° with the ground. The other rope is 115 feet long. What is the distance
between the points on the ground at which the two ropes are anchored?
Select the best answer.
25 ft
28 ft or 85 ft
25 ft or 73 ft
85 ft
28 ft

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