Question

For the right triangles below, find the values of the lengths a and c.

Round your answers to the nearest tenths

Answer 1

a=7.1

b = 4.6

Explanation:

For the first triangle,

taking 45 as reference angle,

cos45 = b/h

or, cos45 = 5/a

or, a = 5/cos45

so, a = 7.07

so, a = 7.1

Again,

taking 60 as reference angle,

tan60 = p/b

or, tan60 = 8/c

or, c = 8/tan60

so, c = 4.6