trigonometry

Question

To the nearest tenth degree, find the acute angles of a 5-12-13 triangle and a 9-12-15 triangle. This enables you to calculate the angles of a 13-14-15 triangle. Show how and find another example of this sort.

Answer 1

with 5 as the base and 12 as the height, the base angle A has sine =12/13

A= sin^-1(12/13). Use a calculator with inverse sine function

the top angle B has sine = 5/13

B = sin^-1(5/13) = 90 degrees minus A