math
posted by Alan .
From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the opposite side of the runway are 6 degrees and 13 degrees, respectively. The points and the tower are in the same vertical plane and the distance from A to B is 1.1 km. Determine the height of the tower.
Please verify if 72.2 meters is the height of the tower.

Label the figure, T is the top of the tower, Dis the base of the tower.
angle DAT=13
angle DB=6
AB = 1100m
find DT
from the figure, AT/sin13=1100/Sin(136) solve for AT.
then, AT/sin90=DT/sin13 
Thanks for your help, I guess we took different approaches to this so now I'm a little confused. Is it possible to explain a little clearer?

I drew the figure. I saw two triangles. In one, I used the law of sines (I knew two angles, one side) to find the other side, then used that side (common to the other triangle, to solve height with the law of sines again.

Wonderful help. Thank you.
Respond to this Question
Similar Questions

Math
From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the opposite side of the runway are, and , respectively. The points and the tower are in the same vertical … 
math
I'm not sure how to work this problem out. Find it very confusing and my answer keeps changing. Please help. From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point … 
Math
From an observation tower that overlooks a runway, the angles of depressin of point A, on one side of the runway, and point B, on the opposite side of the runway are, 6degree and 13degree, respectively. The points and the tower are … 
Trig
From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the oppisite side of the runway are 6 degrees and 13 degreess respectivel. The points and the tower … 
Trigonometry
From an observation tower that overlooks a small lake, the angles of depression of point A, on one side of the lake, and point B, on the opposite side of the lake are, 7degrees and 13degrees, respectively. The points and the tower … 
Math
From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the opposite side of the runway are, 6 degrees and 13 degrees, respectively. The points and the tower … 
Math/Trig
From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the opposite side of the runway are 6 degrees and 13 degrees respectively. The points and the tower … 
math
An aeroplane leaves a runway and climbs at an angle of 15 degrees. After flying 800 meters, how high is it above the runway? 
Algebra
A pilot flying at an attitude of 25,000 ft. The angle of depression from her position to the start of the runway is 2 degrees. How far is the airplane from start of the runway ( in ground distance)? 
Maths
You wonder what altitude the plane reached when it was directly above the end of the runway and how far it travelled to get to that point. You know the runway tarmac is 5500 metres long and approximate that when the plane left the …