4. Alice and Brandon are playing basketball. They are standing at the centre of the court, on the centre line. At the end of the court a net is fastened to the wall at a fixed height. Alice estimates the angle of elevation of the net to be 27°. The angle formed by the net, Alice, and the centre line is 30°. The angle formed by the net, Brandon, and the centre line is 60°.

4. Alice and Brandon are playing basketball. They are standing at the centre of the court, on the centre line. At the end of the court a net is fastened to the wall at a fixed height. Alice estimates the angle of elevation of the net to be 27°. The angle formed by the net, Alice, and the centre line is 30°. The angle formed by the net, Brandon, and the centre line is 60°.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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

4. Alice and Brandon are playing basketball.
They are standing at the centre of the court, on the
centre line. At the end of the court a net is fastened
to the wall at a fixed height. Alice estimates the
angle of elevation of the net to be 27°. The angle
formed by the net, Alice, and the centre line is 30°.
The angle formed by the net, Brandon, and the
centre line is 60°.
a) Draw a diagram for this situation.
b) How far away from the net is Alice?
c) What is the height of the net?

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