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At a certain distance from a pole, the angle of elevation to the top of the pole is 28° . If the pole is 6.3 ft tall, what is the distance from the pole?​

User Nodws
by
7.3k points

1 Answer

4 votes

Answer:

11.84 feet

Explanation:

The given scenario will form a right angled triangle where the distance and the point from where the angle of elevation is measured will be the base of the triangle.

We know

Angle of elevation = x = 28 °

Height of pole = p = 6.3 feet

Distance from pole = d= ?

So,


tan\ x = (p)/(b)\\ tan\ 28 = (6.3)/(b) \\0.5317 = (6.3)/(b)\\b = (6.3)/(0.5317)\\b=11.84\ feet

Therefore, the distance from the pole is 11.84 feet ..

User Hani Ibrahim
by
8.7k points
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