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 trigonometric ratio

We know $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here $\theta = 42^{\circ}$, adjacent side is $x$ and hypotenuse is $10$. So $\cos42^{\circ}=\frac{x}{10}$.

Step2: Solve for $x$

$x = 10\times\cos42^{\circ}$. Since $\cos42^{\circ}\approx0.7431$, then $x=10\times0.7431 = 7.431\approx7.4$.

Answer:

$x = 7.4$