Question

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

Answer 1

Answer:

x ≈ 2879.4 m

Step-by-step explanation:

Measure of ∠DAC = 10°

Measure of ∠DAB = 90°

Measure of ∠BAC = 90° - 10° = 80°

By applying cosine rule in ΔABC,

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

              = $\frac{AB}{AC}$

0.17365 = $\frac{500}{x}$

x = $\frac{500}{0.17365}$

x = 2879.36

x ≈ 2879.4 m