Question

What is the value of w to the nearest degree? Hint- you must find v first.

Answer 1

Answer:

$w=46$°

Step-by-step explanation:

we can solve for $v$ by using the smaller triangle

we have the hypotenuse and an angle that is opposite to $v$

so the trig function we would use is $sin$, since $sin$Ф $=\frac{opposite}{hypotenuse}$

since we are solving for the opposite side we have to rearrange the equation:

$(hypotenuse)sin$Ф$=opposite$

$15sin(65)= 12.4$

$v = 12.4$

now that we have $v$ we can solve for $w$°

we can solve for $w$° with a rearranged version of the formula from before

$sin^{-1} (\frac{opposite}{hypotenuse} )=$Ф

$sin^{-1} (\frac{15}{21} )= 45.6$°≅$46$°