Question

NEED HELP ASAPInstructions: Find the length of the missing sides. Round your answers to the

nearest tenth. (Hint: Always make sure to label your triangle first with your
reference angle)

Answer 1

`x = 9.4`

`y = 17.7`

Explanation:

Given: The figure

Required: Find x and y

The relationship between length x, length 15 and angle 32 is as follows:

`tan \theta = (opp)/(adj)`

So, we have:

`tan\ 32= (x)/(15)`

Cross multiply:

`x =15*tan\ 32`

`x = 15 * 0.6248693519`

`x = 9.3730402785`

`x = 9.4` --- approximated

Similarly:

The relationship between length y, length 15 and angle 32 is as follows:

`cos \theta = (adj)/(hyp)`

So, we have:

`cos\ 32= (15)/(y)`

Cross Multiply:

`y * cos\ 32= 15`

Solve for y

`y = (15)/(cos\ 32)`

`y = (15)/(0.84804809615)`

`y = 17.6876760506`

`y = 17.7` --- approximated