Question

Please help out would really appreciate it

Answer 1

Explanation:

1. Apply the Pythagoras theorem to determine the value of x, we have;

`/Hyp/^(2)` =
`/Adj 1/^(2)` +
`/Adj 2/^(2)`

`x^(2)` =
`15^(2)` +
`8^(2)`

= 289

x =
`√(289)`

x = 17

2. Trigonometric ratios of <D.

i. Sin <D =
`(opposite)/(hypotenuse)`

=
`(8)/(17)`

ii. Cos <D =
`(Adjacent)/(Hypotenuse)`

=
`(15)/(17)`

iii. Tan <D =
`(Opposite)/(Adjacent)`

=
`(8)/(15)`

3. Trigonometric ratios of <F.

i. Sin <F =
`(opposite)/(hypotenuse)`

=
`(15)/(17)`

ii. Cos <F =
`(Adjacent)/(Hypotenuse)`

=
`(8)/(17)`

iii. Tan <F =
`(Opposite)/(Adjacent)`

=
`(15)/(8)`