Question

Solve the triangle give the measure of y

Answer 1

Given:

In triangle
`BGU,BG=x,GU=7,BU=y,m\angle U=90^\circ,m\angle B=44^\circ`.

To find:

The value of y.

Solution:

In a right angle triangle,

`\tan \theta=(Perpendicular)/(Base)`

In triangle BGU,

`\tan B=(GU)/(BU)`

`\tan 44^\circ=(7)/(y)`

`0.966=(7)/(y)`

Isolating y, we get

`y=(7)/(0.966)`

`y=7.2463`

`y\approx 7.2`

Therefore, the correct option is A.