Question

12. Triangle XYZ is a right triangle. Angle Y is the right angle. If tan Z = 3/4 , then Predict the tan X. A) 4/5 B) 3/4 C) 3/5 D) 4/3

Answer 1

D) 4/3

Explanation:

12. Triangle XYZ is a right triangle. Angle Y is the right angle. If tan Z = 3/4 , then Predict the tan X. A) 4/5 B) 3/4 C) 3/5 D) 4/3

IF tan Z = 3/4

Since m<Y = 90 degrees

Let the opposite side be XY

YZ be the adjacent side

and XZ is the hypotenuse

Given

tan theta = opp/adj

opp = 3 = XY

adj = 4 = YZ

Get the hypotenuse

hyp^2 = 3^2 + 4^2

hyp^2 = 9 + 16

hyp^2 = 25

hyp = √25

hyp = 5

for tanX;

Side opposite to angle X is YZ

Adjacent side = XY = 3

opposite = YZ = 4

Tan X = YZ/XY

Tan X = 4/3

Hence the prediction of Tan X is 4/3