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 23°29'. find the height of the mountain to the nearest foot if bob is 16,194.6 feet from the center of the mountain at the base.

The height of mountain= 197,185 foot.

Step-by-step explanation:

We are given that Bob is driving along a straight and level towards a mountain.

The measure of angle of elevation to the top pf the mountain =

The distance of Bob from the centre of the mountain base =16,194.6 feet.

We have to find the height of mountain.

Let height of the mountain=h feet

In a triangle ABC

AB=h feet

BC=16,194.6 feet

We know that

Substitute the values then we get

h=197,185 foot

Hence, the height of mountain= 197,185 foot.

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step-by-step explanation: