To measure the height of one of the faces on Mt. Rushmore, two sightings 810 feet from the base of the mountain are taken. If the angle of elevation to the bottom of the face is 32° and the angle of elevation to the top is 35°, what is the height of this face? (answer to the nearest foot)

Question

amistre64 · Answer

you subtract tangents

amistre64 · Answer

tan(32) = h/810

tan(35) = H/810

H-h = face height :)

amistre64 · Answer

810 [tan(35) - tan(32)] = face height

anonymous · Answer

okay. so the height in feet is 61.02 feet?

amistre64 · Answer

thats what the calulator i have tells me :)

anonymous · Answer

haha okay thanks!