In the right triangle shown, m\angle V = 60\degreem∠V=60°m, angle, V, equals, 60, degree and UV= 18UV=18U, V, equals, 18.

Problem 1)

Problem 2)

Step-by-step explanation:

I will analyze two cases

see the attached figure to better understand the problem

Problem 1

Solve the right triangle TUV

The right angle is ∠U

so

step 1

Find the measure of angle T

we know that

---> by complementary angles in a right triangle

substitute the given value

step 2

Find the length side TU

we know that

In the right triangle TUV

---> by TOA (opposite side divided by adjacent side)

we have

substitute the given values

step 3

Find the length side TV

we know that

In the right triangle TUV

---> by CAH (adjacent side divided by the hypotenuse)

we have

substitute the given values

Problem 2

Solve the right triangle TUV

The right angle is ∠T

so

step 1

Find the measure of angle U

we know that

---> by complementary angles in a right triangle

substitute the given value

step 2

Find the length side TU

we know that

In the right triangle TUV

---> by SOH (opposite side divided by hypotenuse)

we have

substitute the given values

step 3

Find the length side TV

we know that

In the right triangle TUV

---> by CAH (adjacent side divided by the hypotenuse)

we have

substitute the given values

just took the test and my answers down below!

step-by-step explanation:

check the pic :