Question

The legs of a right triangle measure 6 inches and 9 units. If theta is the angle between the 6-inch leg and the hypotenuse, sin theta = _____

A) 0.83
B)0.43
C)0.40
D)0.55

Answer 1

I got 0.55 when I did this problem. If I am wrong I am so sorry and please correct me.

Answer 2

we are given

two legs measure 6 inches and 9 units

theta is the angle between the 6-inch leg

we can find hypotenuse

`hypotenuse=√(6^2+9^2)`

`hypotenuse=3√(13)`

now, we can draw triangle

we will get

`opposite=9`

now, we can use sin formula

`sin(\theta)=(opposite)/(hypotenuse)`

now, we can plug values

`sin(\theta)=(9)/(3√(13))`

we can find approximate value using calculator

and we get

`sin(\theta)=0.83`..................Answer