Question

An observer on the ground notices that the angle

of elevation to the top of a 47m tall Flagpole is 62°. The distance the observer is from the base of the flagpole, to the hearest metre, is

A. 25m
B. 63m
C. 68m
D. 100m

Answer 1

A)25m

Explanation:

To find the distance from the observer to the base of the flagpole, we can use trigonometry. The given information tells us that the angle of elevation to the top of the flagpole is 62 degrees. Let's assume that the distance from the observer to the base of the flagpole is represented by 'x' (in meters).

In a right-angled triangle formed by the observer, the flagpole, and the ground, the height of the flagpole (47m) is the opposite side, and the distance 'x' is the adjacent side.

Using the tangent function, we have:

tan(62°) = opposite/adjacent

tan(62°) = 47/x

To solve for 'x', we can rearrange the equation:

x = 47 / tan(62°)

Now we can calculate the value of 'x':

x ≈ 47 / tan(62°)

x ≈ 47 / 1.88072646535

x ≈ 24.9999999868

Rounding to the nearest meter, the distance from the observer to the base of the flagpole is approximately 25 meters.