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

Answer:

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

Step-by-step explanation:

From the Δ ABC

AC = Length of the slide = L

AB = 9 ft

$\theta = 39$ °

From  Δ ABC

$\sin \theta = \frac{AB}{AC}$

Put all the value in the above formula

$\sin 39 = \frac{9}{L}$

$L = \frac{9}{0.629}$

L = AC = 14.3 ft

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