Question

Find the value of x. Round to the nearest tenth.

Answer 1

BAD=10 degree
BAD=ABC=10degree
sin(10)=500/x
x=500/sin10=2879.4

Answer 2

Answer:

2880.2 m

Step-by-step explanation:

Refer the attached figure.

Since AD is parallel to BC

So, ∠DAC=∠BCA (alternate interior angles are equal)

So, ∠DAC=∠BCA =10°

Now AB(perpendicular) = 500m

AC (hypotenuse)=x

Now to calculate x we will use trigonometric ratio.

$sin\theta =\frac{Perpendicular}{Hypotenuse}$

$sin10^{\circ} =\frac{AB}{x}$

$0.1736 =\frac{500}{x}$

$x=\frac{500}{0.1736}$

$x=2880.18$

Thus the value of x is 2880.18 ≈2880.2 m