Question

Find the missing sides and angles of this triangle

Answer 1

LK = 3.56

ML = 8.76

m∠L = 66°

Explanation:

tan 24 =
`(LK)/(8)`

8 tan 24 = LK

LK = 3.56

cos 24 =
`(8)/(ML)`

ML cos 24 = 8

ML =
`(8)/(cos 24)` = 8.76

∠L and ∠M are complementary

m∠L + m∠M = 90

m∠L + 24 = 90

m∠L = 66°

Note: You need to learn the definitions of all the trig functions and then these types of problems are easy.

For example, Tan of an angle = oppside/adjacent side. OK?