Question

Find the measure of segment AT. Round to the nearest tenth (one decimal place.)

Find the measure of AT.

Answer 1

57.4

Explanation:

Go to point A and draw a line straight down, perpendicular to HT. Let's label the point where your drawn line hits AT as B. Now you have the line segments HB, BT.

HB + BT = 100

Solve for the height of the triangle, BA.

BA = sin35(80) = 45.9

HB = cos35(80) = 65.5

BT = 100 - 65.5 = 34.5

Now you can solve for AT, which is the hypotenuse of ΔBAT:

(AT)² = 45.9² + 34.5² = 3295

AT = √3295 = 57.4