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Scilla [17]
4 years ago
7

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

Mathematics
2 answers:
Sphinxa [80]4 years ago
7 0
BAD=10 degree
BAD=ABC=10degree
sin(10)=500/x
x=500/sin10=2879.4

swat324 years ago
4 0

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

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