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

Answer:

$x = 9.4$

$y = 17.7$

Step-by-step explanation:

Given: The figure

Required: Find x and y

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

$tan \theta = \frac{opp}{adj}$

So, we have:

$tan\ 32= \frac{x}{15}$

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:

$cos \theta = \frac{adj}{hyp}$

So, we have:

$cos\ 32= \frac{15}{y}$

Cross Multiply:

$y * cos\ 32= 15$

Solve for y

$y = \frac{15}{cos\ 32}$

$y = \frac{15}{0.84804809615}$

$y = 17.6876760506$

$y = 17.7$ --- approximated