Question

What is the value of x to the nearest foot?
A. 6,713 ft
B. 9,534 ft
C. 10,443 ft
D. 12, 445

Answer 1

help please?

Answer 2

Do you remember the mnemonic SOHCAHTOA?
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent

You know the angle, and you know the opposite side. You want to find the adjacent side. One of those three should help you, plus a calculator to evaluate one of the (sin,cos, tan) of 40 degrees...

Answer 3

Yes, I remember. I just forget how to solve it. /:

Answer 4

Which one would you use?

Answer 5

tan?

Answer 6

Okay. Can you write the equation that shows tan = opposite over adjacent?

Answer 7

no, i just need help .

Answer 8

Okay, \[tan 40 = 8000/x\]

Answer 9

The tangent of the angle = the opposite over the adjacent.

We need to solve that for \(x\), so we multiply both sides by \(x\) and get
\[x \tan (40) = 8000\]Now divide both sides by tan (40) and get\[x = 8000/\tan(40)\]

and that you can evaluate with your calculator, I hope.

Answer 10

Thank you!

Answer 11

What do you get for the answer?

Answer 12

9,534.

Answer 13

That's what I get, too.

What if we knew the hypotenuse instead of the opposite side. Do you think you could figure out how to solve that?