Question

the main beam to a circus tent is 75 feet tall and is supported by 120 foot wires that extend to the ground. To the nearest degree, what is the angle that is created from the wire and the ground? The angle that is created from the wire and the ground is ______ degrees.

Answer 1

Let's first draw a diagram of the situation

Let's call the missing angle a, then using the definition of the sine function, we have that

`\sin (a)=(75)/(120)`

then, we can take inverse sine in both sides of the equality to clear a

`a=\sin ^(-1)((75)/(120))=38,68218745`

and rounding to the nearest degree, the answer will be 39 degrees.