You are six feet tall and measure the angle between the horizontal and a bird in the sky to be 40o. You can see that the shadow of the bird is directly beneath the bird, and 200 feet away from you on the ground. How high is the bird in the sky?
You are six feet tall and measure the angle between the horizontal and a bird in the sky to be 40o. You can see that the shadow of the bird is directly beneath the bird, and 200 feet away from you on the ground. How high is the bird in the sky?
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.7: Solve Proportion And Similar Figure Applications
Problem 8.160TI: A pine tree casts a shadow of 80 feet next to a 30-foot tall building which casts a 40 feet shadow....
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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.
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Given :
Angle between horizontal and bird = 40
Shadow from man = 200 ft
Height of Man = 6 ft
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