Question

A slide 4.3 m long makes an angle of 31 degrees with the ground how high is the top of the slide above the ground

Answer 1

Given that the slide is 4.3 m long and makes an angle of 31°, then to get how high the slide is above the ground we use trigonometry formula.
sin θ=opposite/hypotenuse
opposite=x=how high the slide is above the ground
hypotenuse=length of the slide=4.3 m
θ=31°
plugging the values in the formula and solving for x we obtain
sin 31=x/4.3
x=4.3×tan 31
x=4.3(0.6009)
x=2.58387
x~2.6 m

Hence we conclude that the top of the slide is approximately 2.6 m from the ground