Aright triangle has a hypotenuse of length 59 and one leg of length 23.
part a: determjne the angle measure of the other two acute angles in the triangle. round to the nearest hundredth.
part b: determine the side length of the other leg.

Part A) The measure of the other two acutes angles are and  

Part B) The side length of the other leg is equal to

Step-by-step explanation:

Part A)

see the attached figure to better understand the problem

we know that

In the right triangle ABC

substitute the values

Remember that

-------> by complementary angles

Part B)

Applying the Pythagoras Theorem

substitute

b i think

step-by-step explanation:

not really sure

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752