A woman stands 15 ft from a statue. She looks up at an angle of 60° to see the top of the statue. Her eye level is 5 ft above th
e ground. How tall is the statue to the nearest foot?
1 answer:
Answer:
31 ft
Step-by-step explanation:
Let the Woman's Eye level be at Band the top of the statue be at C in the attached diagram.
We want to calculate the height CE of the statue.
CE=CD+DE
First we find CD using trigonometry
Tan 60=CD/15
CD=15 X Tan 60
=25.98 ft
DE=AB= 5ft( Sides of a Rectangle)
Therefore the height of the statue
CE=CD+DE = 25.98+5=30.98 ft
=31ft( to the nearest foot)
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