Question

Assignment X 15 8 8 sin-1 = mZT 15 T 17 U Descibe and correct the error.

Answer 1

`\sin T=\frac{oppos.}{\text{hypo.}}`

The sine function should be the ratio between the opposite side to the angle T and the hypotenuse (opposite side of the right angle)

∵ The opposite side of < T is VU

∵ The hypotenuse is TU

`\therefore\sin T=(VU)/(TU)`

∵ VU = 8 and TU = 17

`\therefore\sin T=(8)/(17)`

To find the angle T use the inverse of the sine

`m\angle T=\sin ^(-1)((8)/(17))`

But they wrote

`m\angle T=\sin ^(-1)((8)/(15))`

They use the adjacent side of angle T instead of the hypotenuse

Then, 15 must be changed to 17