Question

(SAT Prep) An airplane has leveled off (is flying horizontally) at an altitude 12000 feet. When the airplane is at point P its pilot can see each of two small towns at points R and T in front of the plane. With angle measures as indicated find m∠PRT, m∠T and m∠RPT.

Answer 1

Check the image for the answer. Hope it helps.

Answer 2

m∠PRT = 114°

m∠T = 37°

m∠RPT = 29°

Explanation:

This question is incomplete (without a picture) ; here is the picture attached.

In this picture, an airplane is at an altitude 12000 feet.

When the plane is at the point P, pilot can observe two towns at R and T in front of plane.

We have to find the measure of ∠PRT, ∠T and ∠RPT.

Form the figure attached segment PS is parallel to RT and PR is a transverse.

We know that internal angles formed on one side of the parallel lines by a transverse are supplementary.

Therefore, x + 66 = 180

x = 180 - 66 = 114°

∠PRT = x = 114°

m∠RPT = m∠SPR - m∠SPT

= 66 - 37

= 29°

Since m∠PRT + m∠T + m∠RPT = 180°

114 + ∠T + 29 = 180

143 + ∠T = 180

∠T = 180 - 143

∠T = 37°