Question

Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale.

Answer 1

x ≈ 2879.4 m

Explanation:

Measure of ∠DAC = 10°

Measure of ∠DAB = 90°

Measure of ∠BAC = 90° - 10° = 80°

By applying cosine rule in ΔABC,

cos(80°) =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

=
`(AB)/(AC)`

0.17365 =
`(500)/(x)`

x =
`(500)/(0.17365)`

x = 2879.36

x ≈ 2879.4 m