Question

Find the tangent of ∠U.
24
70
74
U
V
W
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan(U)=

Answer 1

Notice 24^2 + 70^2 = 576 + 4900 = 5476 = 74^2, so the triangle is right with hypotenuse 74 (right angle at V). For angle U the opposite leg is 70 and the adjacent leg is 24, so

tan(U) = 70/24 = 35/12.