A 15-foot flagpole casts a 13 foot-shadow. At the same time, a nearby building casts a 55-foot shadow. How tall is the building?
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Answer:
Step-by-step explanation:
The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.
Tan θ =
=
the the distance, d = x ÷ Tan θ
Assume the angle of elevation of the top of the tree is , and the height of the tree is 10 m, then the distance, d, across the river would be;
d =
= 17.3190
d = 17.32 m
The sketch to the explanation is attached to this answer for more clarification.
