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Black_prince [1.1K]
4 years ago
12

1. Haw Orchard Mountain is 5080 feet high. From a point x feet away from Haw Orchard Mountain, the angle

Mathematics
1 answer:
mart [117]4 years ago
7 0

Answer:

x=3174.3 feet

Step-by-step explanation:

As the triangle including x, the height of the mountain is a right angled triangle.

Now we know that in a right angled triangle the tangent of an angle is the ratio of the opposite side and the adjacent side.

Tan α=\frac{opposite side}{adjacent side}

here opposite side=5080 feet

adjacent side=x feet

α=58°

Tan 58° = 5080/x

x=5080/1.30=3174.3 feet.

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