Question

Give triangle TRY, find TY. Round your answer to the nearest hundredth.

Answer 1

The length of TY is 2.26.

Solution:

In ΔTRY, θ = 37°, Adjacent side = 3.

To find the length of TY.

Using trigonometry identity,

`$\tan\theta=\frac{{opposite}}{{Adjacent}}`

`$\tan37^\circ=\frac{{TY}}{3}`

`$3\tan37^\circ=TY`

`$3* 0.75355=TY`

`$TY=2.26065`

TY = 2.26

Hence the length of TY is 2.26.