Question

A. In a park, a slide (9 meters long) is built over a horizontal distance of 6 meters along the ground. Find, to the nearest degree, the measure of the angle that the slide makes with the ground.

Answer 1

48°

Explanation:

The set up will form a right angled triangle;

Length of the slide is the hypotenuse = 9m

Horizontal distance will be the adjacent = 6m

Required

angle that the slides make with the ground;

Using the SOH, CAH TOA trigonometry identity;

Cos theta = Adj/Hyp

Cos theta = 6/9

Cos theta = 0.6667

theta = cos^-1(0.6667)

theta = 48.19°

Hence the angle that the side makes with the ground to nearest degree is 48°