A construction company is assembling a slide in a children's playground. The slide is 7.9 m long. If the slide can have a maximum slope of 37°, how high can the top of the slide be?
a. 6.3 m
c. 4.8 m
b. 6m
d. 3.7 m
The height of the top of the slide can be determined using trigonometry. We can use the sine function to find the height.
The formula for the height of the top of the slide is:
h = l * sin(angle)
where h is the height, l is the length of the slide, and angle is the maximum slope angle.
Plugging in the values, we have:
h = 7.9 * sin(37°)
Using a calculator, we find:
h ≈ 7.9 * 0.6018
h ≈ 4.754
Therefore, the height of the top of the slide is approximately 4.8 m.
The correct answer is c. 4.8 m.