Question

At 20 meters from a flagpole, the angle of elevation is 48 degrees, how tall is the flagpole

Answer 1

ANSWER:

The height of flag pole is 24 meters.

SOLUTION:

Given, at 20 meters from a flagpole, the angle of elevation is 48 degrees,  We need to find how tall is the flag pole.

Let the length of the flag pole be x.

In the given case, ground, flag pole and sight all together forms a right angle triangle.

In that triangle, sight acts as hypotenuse and remaining as sides.

Now, we know that, in any triangle.

$\tan \theta=\frac{\text {opposite side}}{\text {adjacent side}}$

Since, angle of elevation is 48 degrees and flag acts as opposite side, we get

$\tan (48)=\frac{x}{20}$

$1.200=\frac{x}{20}$

x = 1.200 x 20

x = 24.00

Hence, the height of flag pole is 24 meters.