SOLUTION: To measure a stone face carved on the side of a​ mountain, two sightings 600 feet from the base of the mountain are taken. If the angle of elevation to the bottom of the face

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Question 1109034: To measure a stone face carved on the side of a​ mountain, two sightings 600 feet from the base of the mountain are taken. If the angle of elevation to the bottom of the face is 42° and the angle of elevation to the top is 44°​, what is the height of the stone​ face?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Observer, top, and bottom, form a triangle.

Angle that is made AT the observer is 44-42=2 degrees.
Angle at the top of the face is 46 degrees.
Angle b at the bottom of the face makes for b%2B46%2B2=180, b=132 degrees.

Length from observer to the top of the face on the mountain is 600%2Fcos%2844%29=834.1%2Afeet.

Use Law Of Sines to find the stone face, length from top to bottom.

39 feet