Question

Find the measure of angle y. Round your answer to the nearest hundredth.

Answer 1

sin(y) = 7/12, so y = arcsin(7/12) = 0.623 rad

Answer 2

Answer:
`35.68^(\circ)`

Explanation:

In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse.

In the given right triangle , the length of hypotenuse = 12 units

The length of the side opposite to y°= 7 units

The by using trigonometric ratios, we have

`\sin y^(\circ)=(7)/(12)\\\\\Rightarrow\ \sin y^(\circ)=0.5833\\\\\Rightarrow\ y^(\circ)=sin^(-1)(0.5833)\\\\\Rightarrow\ y^(\circ)=35.68298338\approx35.68^(\circ)\text{[ Using arcsin calculator]}`

Hence, the measure of angle y =
`35.68^(\circ)`