Question

PLEASE PLEASE HELP!!
100 POINTS

Answer 1

1. 6.69ft

2. x=33.5

3. x=14.0

4. x=12

Explanation:

Answer 2

1. 6.69ft

2. x=33.5

3. x=14.0

4. x=12

Explanation:

Use the sine ratio to find y.

Recall the mnemonics SOH-CAH-TOA

`\sin \theta =(Opposite)/(Hypotenuse)`

Substitute the values to get:

`\sin 26.5\degree =(y)/(15)`

Solve for y

`y=15\sin 26.5\degree`

`y=6.69ft`

2. Apply the sine ratio again

`\sin \x=(Opposite)/(Hypotenuse)`

Substitute the values to get:

`\sin \x=(32)/(58)`

`\sin \x=0.5517`

`x=\sin^(-1)(0.5517)`

`x=33.5\degree`

3. Apply the tangent ratio

`\tan x=(Opposite)/(Adjacent)`

Substitute the values to get

`\tan x=(5)/(20)`

`\tan x=(1)/(4)`

`\tan x=0.25`

`x=\tan {-1}(0.25)`

`x=14.0\degree`

4. This is an isosceles right triangle. Therefore the second leg is also
`6√(2)`

Now apply the Pythagoras Theorem to obtain:

`x^2=(6√(2))^2+(6√(2))^2`

`x^2=72+72`

`x^2=144\implies x=12`