Question

right triangle trigonometry - sohcahtoa
right triangle trigonometry relates the sides of a right triangle to the angle measures of the two acute angles.
fill in the missing information.
text should be lower case.
calculate the value for x.
answer (round to 1 decimal): x = (ie 1.2 or 16.0)

Explanation:

Step1: Identify sine ratio

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here $\theta = 38^{\circ}$, the opposite side to the $38^{\circ}$ angle is $x$ and the hypotenuse is 15, so $\sin38^{\circ}=\frac{x}{15}$.

Step2: Solve for $x$

We know that $\sin38^{\circ}\approx0.6157$. Then $x = 15\times\sin38^{\circ}$. So $x=15\times0.6157 = 9.2355\approx9.2$.

Answer:

1. $\sin38^{\circ}=\frac{x}{15}$
2. $x = 9.2$