asked 170k views
2 votes
To measure a stone face carved on the side of a​ mountain, two sightings 700 feet from the base of the mountain are taken. If the angle of elevation to the bottom of the face is 35 and the angle of elevation to the top is 38 ​, what is the height of the stone​ face?

asked
User Aden
by
8.2k points

1 Answer

2 votes

Answer:

75feet

Explanation:

To measure a stone face carved on the side of a​ mountain, two sightings 700 feet from the base of the mountain are taken. If the angle of elevation to the bottom of the face is 35 and the angle of elevation to the top is 38 ​, what is the height of the stone​ face?

Iet us say we have two right triangles. With a base of 700. The first has angle of 35o and the other has an angle of 38degree

Then we need the Height

From trigonometry

Tan = opposite/adjacent.

In this case the adjacent is 800

Tan 35 = 0.7002

Tan 38 = 0.781

answered
User Pgb
by
9.3k points
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