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goblinko [34]
4 years ago
6

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.
Degger [83]

<u>Given</u>:

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.

<u>Length of TU:</u>

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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