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°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{AB}{AC}[/tex]
0.17365 = [tex]\frac{500}{x}[/tex]
x = [tex]\frac{500}{0.17365}[/tex]
x = 2879.36
x ≈ 2879.4 m
