Question

A 30 feet wire stretches from the top of a light pole diagonally to the ground the light pole is 10 feet high what is the angle the wire makes with the ground

Answer 1

The wire makes an angle of 19.47 degrees with the ground

Explanation:

Here, we want to calculate the value of the angle that the wire makes with the ground

Mathematically, we need an image

From the image, we have a right-angled triangle with the length of the wire as hypotenuse, the height of the pole as opposite

So; we proceed to use a trigonometric identity to get the angle

Mathematically; the trigonometric identity that relates the hypotenuse with the opposite is the sine

So;

sine theta = 10/30

theta = sin^-1 (1/3)

theta = 19.47 degrees