Question
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
a. 6.3 m
c. 4.8 m
b. 6m
d. 3.7 m
Answers
GPT 3.5
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.
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.
Related Questions
if the height of a playground slide is kept constant, will the length of the slide or the presence o...
Children climb 8 ft to the top of a slide. The end of the slide is 1 ft above the ground and the sli...
Create an Interactive
Slide 1 title slide
Slide 2 the Food Chain diagram
Slide 3 s...
A construction company is assembling a slide in a children's playground. The slide is 7.9 m long. If...