Distance A hot-air balloon is held at a constant altitude by two ropes that areanchored to the ground. One rope is 120 feet long and makes an angle of 65 degree with theground. The other rope is 115 feet long. What is the distance between the points onthe ground at which the two ropes are anchored?

Distance A hot-air balloon is held at a constant altitude by two ropes that areanchored to the ground. One rope is 120 feet long and makes an angle of 65 degree with theground. The other rope is 115 feet long. What is the distance between the points onthe ground at which the two ropes are anchored?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.2: Trigonometric Functions Of Angles

Problem 24E

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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

Distance A hot-air balloon is held at a constant altitude by two ropes that are
anchored to the ground. One rope is 120 feet long and makes an angle of 65 degree 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?

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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