right angle trinagle base 7255mm the hypotenuse 20 degrees length of the hypotenuse ?

Question

Wanting to know the length of the hypotenuse of a given right angle triangle, with a base of 7255mm , the hypotenuse angle is 20 degrees also what would the height be.

Answer 1

Base a = 7255mm,

We know that

CosA = adjacent side/hypotenuse

hypotenuse = adjacent side/CosA

A = 20, adjacent side = 7255mm

hypotenuse = 7255/Cos20

= 7255/0.9396

= 7721.3mm

hypotenuse length is 7721.3mm

From pythagaros therom

(7721.3)^2  = (7255)^2+b^2

59618473.69 = 52635025+b^2

59618473.69-52635025  = b^2

6983448.69 = b^2

b = Sqrt(6983448.69)

b = 2642.62

Height of the given triangle = 2642.62mm