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 th e angle of elevation to the bottom of the face is 35degreesand the angle of elevation to the top is 38 degrees,what is the height of the stone face
1 answer:
Answer:
Height of stone face is : <em>56.7 ft </em>
<em> </em>
Step-by-step explanation:
Kindly refer to the attached image for the diagram of the given conditions and values.
Let C be the base of mountain.
D be the point from where two sightings are taken.
AB be the stone face.
Angle of elevations:
To find:
Height of stone face = ?
AB = ?
Solution:
We can use trigonometric function of tangent here in two triangles :
So, Height of stone face is : <em>56.7 ft </em>
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