A playground slide is 14.5 feet long with an 8.5-foot tall ladder. What is the measure of the angle that the slide makes with th

Question

4 years ago

15

e ground, x, to the nearest degree? 28° 36° 54° 62°

2 answers:

Svetach [21] · Answer 1 · 2021-11-14T13:28:42+03:00

5 0

The correct answer is 36 degrees

good luck

Nuetrik [128] · Answer 2 · 2021-11-14T14:29:03+03:00

Answer: The angle that the slide makes with the ground x = 36°.

Step-by-step explanation:

Since we have given that

Length of slide = 14.5 ft

Length of ladder = 8.5 ft

Angle of elevation be 'x'.

We will use "Sine rule ":

$\sin x=\frac{Perpendicular}{Hypotenuse}=\frac{8.5}{14.5}\\\\\sin x=0.5862\\\\x=\sin^{-1}(0.5862)\\\\x=35.88\\\\x\approx 36^\circ$

Hence, the angle that the slide makes with the ground x = 36°.