Question

Solve the right triangle. Round decimal answers to the nearest tenth.

Answer 1

Explanation:

take angle A as reference angle

using cos rule

cos A = adjacent/hypotenuse

cos A =10/15

cos A =0.66

`A=cos^(-1) (0.6666)`

A=48.194

A=48.2

angle A + angle B + angle C =180 degree (being sum of interior angles of a triangle)

48.2 + angle B + 90 =180

138.2 + angle B =180

angle B =180-138.7

angle B =41.8

for BC

using pythagoras theorem

a^2 + b^2 = c^2

AC^2 + BC^2 = AB^2

10^2 + BC^2 = 15^2

100 + BC^2 = 225

BC^2 = 225-100

BC^2 = 125

`BC=√(125)`

BC=5
`√(5)`

BC=11.2