Question

Find the missing side. Roundto the nearest tenth.17y440Xy = [?]

Answer 1

Given:

Angle =44 degrees, the hypotenuse side =17, and opposite side = y.

Recall the formula for the sine

`\sin \theta=\frac{Opposite\text{ side }}{\text{Hypotenuse}}`
`\text{ Substitute opposite side =y, hypotenuse =17 and }\theta=44^o,\text{ we get}`
`\sin 44^o=(y)/(17)`

`17*\sin 44^o=y`
`\text{ Use }\sin 44^o=0.6947.`
`y=0.6947*17=11.8099`

Round off, we get

`y=11.8`

The value of y is 11.8 units.