In ΔTUV, the measure of ∠V=90°, TV = 56, UT = 65, and VU = 33. What is the value of the tangent of ∠U to the nearest hundredth?

Question

leonid [27]

2 years ago

11

In ΔTUV, the measure of ∠V=90°, TV = 56, UT = 65, and VU = 33. What is the value of the tangent of ∠U to the nearest hundredth?

PLEASE HELP!

Mathematics

2 answers:

Juliette [100K] · Answer 1 · 2022-03-30T13:51:29+03:00

Juliette [100K]2 years ago

6 0

Answer:

1.70 if you need to round from 1.696969

Step-by-step explanation:

mamaluj [8] · Answer 2 · 2022-03-30T12:23:48+03:00

Answer: The tangent of angle U equals 1.69 (to the nearest hundredth)

Step-by-step explanation: The triangle TUV has one of the angles (angle V) measuring 90 degrees. That makes it a right angled triangle. Also line TV equals 56. Note that the third angle (angle U) would be facing line TV, that makes line TV opposite angle U, since angle U is the reference angle. Line VU measures 33. If angle U is the reference angle and angle V is the right angle, then line VU is the adjacent (line between the right angle and the reference angle).

The trigonometric ratio can be applied in a right angled triangle. Where the opposite and adjacent have been given, the ratio is as follows;

Tan X = opposite/adjacent

Tan U = 56/33

Tan U 1.696969

Rounded off to the nearest hundredth, the tangent of angle U is 1.69