Question

A slide of 4.1 meters long makes an angle of 27 degress with the ground. How high is the top of the slide above the ground? Round to the nearest hundreth meter.

Answer 1

1.86 metres

Step-by-step explanation:

Given the following

Length of the slide = 4.1m (hypotenuse)

Angle of elevation = 27 degrees

Required

Height of the slide above the ground

Using the trigonometry identity

sin theta = opposite/hypotenuse

sin 27 = H/4.1

H = 4.1sin27

H = 4.1(0.4539)

H = 1.86 metres

Hence the height ofthe slide above the pole is 1.86metre to the hundredth meters