Question

Ron is designing a new slide for the amusement park in town the slide makes an angle of 39 degrees with the ground.The top of the slide is to be 9 feet off the ground What should be the length of the slide he needs to make to the nearest foot?

Answer 1

The length of the slide he needs to make = AC = L = 14.3 ft

Explanation:

From the Δ ABC

AC = Length of the slide = L

AB = 9 ft

`\theta = 39` °

From Δ ABC

`\sin \theta = (AB)/(AC)`

Put all the value in the above formula

`\sin 39 = (9)/(L)`

`L = (9)/(0.629)`

L = AC = 14.3 ft

Therefore the length of the slide he needs to make = AC = L = 14.3 ft