Answer:
x = 6.9
Step-by-step explanation:
We're going to use SOH CAH TOA.
If we look at the angle (58°), and see what the relevant sides of the triangle are, we can see that the hypotenuse (our known side) is the H (hypotenuse), and the side labelled 'x' (our unknown side) is the A (adjacent).
According to SOH CAH TOA, we'll use cos (C), since we're working with the adjacent and the hypotenuse.
The equation for CAH is cos (Ф°) = A/H
In this case, Ф = 58°, A = x, and H = 13
So cos (58°) = x/13
Solve for x by multiplying both sides by 13 and using your calculator to evaluate.
13 cos (58°) = x
x = 6.88895
To the nearest tenth, x = 6.9
