Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation

Question

3 years ago

14

Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation

to the top of the mountain and finds it to be 21°44'. Find the height of the mountain to the nearest foot if Bob is 13,428.7 feet from the center of the mountain at the base.

Mathematics

1 answer:

avanturin [10] · Answer 1 · 2022-09-03T20:46:32+03:00

avanturin [10]3 years ago

3 0

Answer:

5353 ft

Step-by-step explanation:

We have height of the mountain = x

We also have

tan (21°44')= x/13428.7 → x=5352.98ft

Height of the mountain to the nearest foot = 5353 ft

Hope this helps ʕ•ᴥ•ʔ