A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 16o when staring at the top of the sta tue. Then the person looks down at an angle of depression of 8o when staring at the base of the statue. How tall is the statue to the nearest tenth of a foot?
1 answer:
Answer:
The height of the statue is 21.4 feet
Step-by-step explanation:
We are given
A person is standing 50 ft from a statue
The person looks up at an angle of elevation of 16 degree when staring at the top of the statue
hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue
Firstly, we will draw diagram
In triangle ABF:
FC=50
we can use trig formula
now, we can find x
In triangle DEF:
we can use trig formula
we can see that
height of statue =x+y
so, the height of statue is
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