Question

A, B & C form the vertices of a triangle.
∠ CAB = 90°, ∠ ABC = 73° and AB = 9.4​

Answer 1

BC ≈ 32.2

Explanation:

Using the cosine ratio in the right triangle

cos73° =
`(adjacent)/(hypotenuse)` =
`(AB)/(BC)` =
`(9.4)/(BC)` ( multiply both sides by BC )

BC × cos73° = 9.4 ( divide both sides by cos73° )

BC =
`(9.4)/(cos73)` ≈ 32.2 ( to 3 sf )

Answer 2

cos37= 9.4/BC,cos37=0.8

BC= 9.4/0.8

bc = 11.75