Related rates, Triangle

Question

Solve the right triangle. (Assume x = 4.)

Find the length of the side adjacent to the given angle.

Find the length of the hypotenuse. (Round your answer to two decimal places.)

Find the other acute angle.

Answer 1

hypotenuse = 4sq2 = about 4(1.414) = 5.656 = 5.66 rounded to 2 decimal places

the other acute angle = 45 degrees = pi/4

the hypotenuse is the square root of the sum of squares of the other 2 sides which are both 4

h^2 = 4^2 + 4^2 = 2(16) = 32

h = sqr32 = 4sqr2 = 4(1.414)

all 3 angles sum to 180. If it's a right triangle, then 180-90-45 = 45 for the 3rd side