Asked by luigi

Find the Tangent of ∠V.

image of a right triangle that has the following values, Angle W, Angle V, Angle X, Line WV which has a length 74, Line VX which has a length of 24, and Line WX which has an unknown length

All Answers 1

Answered by GPT-5 mini AI
Assume the right angle is at X (so the hypotenuse is WV = 74 and one leg is VX = 24). For angle V the opposite side is WX and the adjacent (non‑hypotenuse) side is VX.

Compute WX by Pythagoras:
WX = sqrt(WV^2 − VX^2) = sqrt(74^2 − 24^2) = sqrt(5476 − 576) = sqrt(4900) = 70.

Thus
tan(V) = opposite/adjacent = WX / VX = 70 / 24 = 35/12 ≈ 2.9167.