math
posted by Carter .
A passenger in an airplane flying at an alti
tude of 14 kilometers sees two towns directly
to the left of the plane. The angles of depres
sion to the towns are 30◦ and 52◦.
How far apart are the towns?
Answer in units of ft.

Angle of depression is not enough, what azimuth bearings are they at? Maybe you mean at the same bearing...
draw the figure, let x be the distance apart, h the height of plane, a the distance from the close town to just below airplane.
h/a=tan52
h/(x+a)=tan30
You know h.
first equation, solve for a.
Put that in the second equation, solve for x.
Respond to this Question
Similar Questions

Trig
I have no idea how to do this problem From an airplane flying 2 kilometers aboce the ocean, a piolet sees two ships directly to the east. The angles of depression to the ships are 8 degrees 20 minutes and 75 degrees 40 minutes how … 
Math
1) Find the angle of depression from the top of a lighthouse 250 feet above water level to the water line of a ship 2 miles off shore. arc tan 10560/250 = 88.64 ft Is this correct? 
mechanics (calculating plane speed and climb angle
Two radar stations A and B, are separated by the distance a = 500 m, track the plane C by recording the angles α and β at 1second intervals. If three successive readings are t (s) 9 10 11 α 54.80◦ 54.06◦ … 
Trigonometry
A passenger in an airplane flying at an altitude of 10 kilometers sees two towns directly to the left of the plane. The angles of depression to the towns are 28° and 55°. How far apart are the towns? 
chemistry
Calculate the amount of heat absorbed when 58 g of steam at 117◦C are completely converted to ice at −32.5◦C. Specific Heat: H2O(s) = 2.09 J/g◦C H2O(l) = 4.18 J/g◦C H2O(g) = 2.03 J/g◦C Heat of Fusion … 
physics
Two airplanes leave an airport at the same time. The velocity of the first airplane is 710 m/h at a heading of 27.5 ◦ . The velocity of the second is 650 m/h at a heading of 167◦ . How far apart are they after 3.3 h? 
Physics
Consider the 608 N weight held by two cables shown below. The lefthand cable had ten sion T2 and makes an angle of 44◦ with the ceiling. The righthand cable had tension T1 and makes an angle of 42◦ with the ceiling. … 
Algebra 1
(word problem): On a map two towns are 4 cm apart. If the scale is 1 centimeter = 80 kilometers, how far apart are the towns? 
Math Trigonometry
An airplane is flying between two towns at an altitude of 8km. One town is to the west of the plane and the other is to the east. The angle of depression to one town in de34grees and to the other town is 49degrees. What is the distance … 
Meth
The two towns are 22 miles apart a certain one has a scale of 1 cm equals 4 miles how far apart are the towns on the map