The height of the tower based on the angle of elevation given is
How to calculate the height?
From the information given, the tower is 45m, the clinometer is set at 1.3m above the ground, and the angle of elevation is 32°.
This can be illustrated as:
tan 32° = (45 - 1.3)/x
tan 32° = 43.7/x
x = 43.7/tan 32°
x = 69.93m.
Also, for triangle ACD,
tan 47° = (43.7 + y)/x
x × tan 47° = 43.7 + y
74.49 = 43.7 + y
y = 31.29
The height of the tower will be:
= 43.7 + 31.29
= 74.99m
Learn more about angle of elevation on:
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