Answer:
Problem 1)



Problem 2)



Step-by-step explanation:
I will analyze two cases
see the attached figure to better understand the problem
Problem 1
<em>Solve the right triangle TUV</em>
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
<em>Solve the right triangle TUV</em>
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

