Question

Find the tangent of ∠G.
45
53
G
H
F
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan(G)=

Answer 1

I assume triangle GHF is right-angled at H with GH = 45 (adjacent to ∠G) and GF = 53 (hypotenuse). Then the opposite side to ∠G is HF, found by Pythagoras:

HF = sqrt(53^2 − 45^2) = sqrt(2809 − 2025) = sqrt(784) = 28.

So tan(G) = opposite/adjacent = HF/GH = 28/45.