Saturday

April 19, 2014

April 19, 2014

Posted by **Denisha** on Monday, August 22, 2011 at 10:24pm.

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.

- math -
**Reiny**, Monday, August 22, 2011 at 11:21pmmake a diagram, label the base of the tower T, and let the height of the tower be h

let AT=x, then TB = 1.1-x

in 1st triangle:

tan6 = h/x ---> h = xtan6

in 2nd triangle:

tan 13 = h/(1.1-x) --> h = (1.1-x)tan13

then xtan6 = 1.1tan13 - xtan13

xtan6 + xtan13 = 1.1tan13

x(tan6 - tan13) = 1.1tan13

x = 1.1tan13/(tan6 + tan13)

once you found x, sub that into h = xtan6

to get the height.

**Related Questions**

Chemistry - Compute the equilibrium constant for the reaction between Ni 2+ (aq...

math question - I am trying to study for a basic math entrance exam and can not ...

College Math II - x/x – 1 - 3/x = 1/4 My problem says to show the work and to ...

algebra - i have two answers to this problem so am not sure which way I need to ...

College Math II - Solve by any method. x(x + 1) = 12 I am not sure what method ...

Math - I am trying to figure how to solve this but I am totally confused? Can ...

Basic Algebra - I have to solve the following equation and check my work. Not ...

Algebra 2 (Quadratic Equations) - Is the point (-3, -2) a solution of the ...

math - Solve x^2+2x-4=0 When i try to factor this problem out I cant get it to ...

Math - 4t+14=6t/5+7 Please help me work out this problem and show your work