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
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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?
Transcribed Image Text: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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