4 years ago

Which lines are perpendicular don’t assume choose all the correct statements

Mathematics

1 answer:

BaLLatris [955]4 years ago

3 0

A perpendicular line meets another line at a 90° angle.

p is perpendicular to b
q is perpendicular to a
r is perpendicular to a

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In ΔTUV, the measure of ∠V=90°, the measure of ∠U=55°, and VT = 82 feet. Find the length of TU to the nearest tenth of a foot.

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Given that TUV is a right triangle with measure of ∠V=90°

The measure of ∠U = 55°, and the length of VT is 82 feet.

We need to determine the length of TU.

Length of TU:

The length of TU can be determined using the trigonometric ratio.

Thus, we have;

$sin \ \theta=\frac{opp}{hyp}$

where $\theta=55^{\circ}$ , opp = VT and hyp = TU

Thus, we have;

$sin \ 55^{\circ}=\frac{VT}{TU}$

Substituting the values, we have;

$sin \ 55^{\circ}=\frac{82}{TU}$

Simplifying, we have;

$TU=\frac{82}{sin \ 55^{\circ}}$

$TU=\frac{82}{0.819}$

$TU=100.1$

Thus, the length of TU is 100.1 feet.

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