Question

What is the value of x to the nearest tenth?

x = __

(If you could explain how I can calculate this that'd be great because I don't get it at all; but it's alright if you don't)

Answer 1

14.4

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember that ...

... Tan = Opposite/Adjacent

In this figure, you have a right triangle with an angle, its adjacent side, and its opposite side marked. The above relation tells you ...

... tan(64°) = x/7

Multiplying by 7 gives the value of x.

... 7·tan(64°) = x ≈ 14.3521 ≈ 14.4