asked 58.5k views
4 votes
A set of bleachers 20 feet long rises from the ground at an angle of 33°. what is the length of the bleachers along the ground? round to the nearest tenth.

asked
User RayB
by
8.7k points

1 Answer

4 votes
Based on my understanding, 20 feet serves as the hypotenuse of the triangle created when the bleacher rises from the ground at an angle of 33°.

sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

sin 33° = opposite / 20 ft
sin 33° x 20ft = opposite
0.544 x 20 = opposite
10.89 ft = opposite

cos 33° = adjacent / hypotenuse
cos 33° x 20 ft = adjacent
0.839 x 20 = adjacent
16.77 ft = adjacent

I think the the length of the bleachers along the ground is the value of the adjacent which is 16.77 ft.

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