Solve for x in the triangle. Round your answer to the nearest tenth.

Question

asked Mar 27, 2023 136k views

1 Answer

Jpincheira · Answer 1 · 2023-04-01T23:38:48+0000

x = 12.9

Note:

The following is sin formula:

$\sin( \theta) = (opposite)/(hypotenuse)$

1) Using the sin formula

sin(59) = (x)/(15)

2) Multiply both sides by 15

$15 \sin(59) = (x)/(15) * 15$

3) Divide both sides by sin(59)

$(15 \sin(59) )/( \sin(59) ) = (x)/( \sin(59) )$

4) Find the value of x

$x = 15 \sin(59)$

x = 12.9