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

we are given

two legs measure 6 inches and 9 units

theta is the angle between the 6-inch leg

we can find hypotenuse

$hypotenuse=\sqrt{6^2+9^2}$

$hypotenuse=3\sqrt{13}$

now, we can draw triangle

we will get

$opposite=9$

now, we can use sin formula

$sin(\theta)=\frac{opposite}{hypotenuse}$

now, we can plug values

$sin(\theta)=\frac{9}{3\sqrt{13}}$

we can find approximate value using calculator

and we get

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

Answer 2

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