3. A children's slide is 10 feet long and inclines 64° from the ground. The
ladder to the top is 9 feet long. How steep is the ladder (what angle does the ladder make with the ground)?

The law of sines can be used to solve this. We have two sides of a triangle and the angle opposite one of them. We want to find the angle opposite the other known side.

In the attached, the triangle is ΔACS. We have side "a" = 9, and side "c" = 10. Angle A is given as 64°. The law of sines tells us ...

sin(C)/c = sin(A)/a

sin(C) = (c/a)sin(A)

C = arcsin((c/a)sin(A)) = arcsin(10/9·sin(64°)) ≈ 87.03°

The ladder makes an angle of about 87° with the ground.

3. A children's slide is 10 feet long and inclines 64° from the ground. Theladder to the top is 9 feet long. How steep is the ladder (what angle does the ladder make with the ground)?​

Respuesta :

Otras preguntas

3. A children's slide is 10 feet long and inclines 64° from the ground. The
ladder to the top is 9 feet long. How steep is the ladder (what angle does the ladder make with the ground)?