Question

Find the number that belongs

in the green box.
37⁰
64°
[?]
30
Round your answer to the nearest tenth.

Answer 1

? ≈ 20.1

Explanation:

using the Sine rule in the triangle

`(a)/(sinA)` =
`(b)/(sinB)`

with a = ? , b = 30 , ∠ A = 37° , ∠ B = 64° , then

`(?)/(sin37)` =
`(30)/(sin64)` ( cross- multiply )

? × sin64° = 30 × sin37° ( divide both sides by sin64° )

? =
`(30sin37)/(sin64)` ≈ 20.1 ( to the nearest tenth )