Question

Express tan H as a fraction in simplest terms.
F
H
28
7
G

Answer 1

4 or
`(4)/(1)`

Explanation:

To solve this we need to remember SOH-CAH-TOA. With SOH being Sine, CAH being Cosine, and TOA being Tangent. In the last term (TOA), the O means opposite and the A is adjacent. This means the segment opposite of angle H you have to divide that by the segment adjacent to H.

In this case, the opposite is 28 and the adjacent is 7. So we have to do
`(28)/(7)`. This is tan(H). Now we have to simplify this. Now we get our tangent of H to be
`(4)/(1)` or 4. So 4/1 or 4 is our answer