AlgebraTrig Please Help ASAP
posted by Candy
A balloon isin the vertical plane of two consecutive milestones of a road. The angles of depression of the stones as viewed from the balloon are 15 degrees and 17 degrees. Find the height of the balloon if (a) the stones are on opposite sides of the balloon, (b) the stones are on the same side of the balloon.
I really need help please.

Candy
I'm almost getting ready 2 go 2 sleep and i really really need help. Just show me how to set the problem up and I can just solve it from there. Thanks :)

Steve
If the balloon is between the stones, then: Let the balloon be x away from the first stone, and 1x away from the other
h/x = tan 15° = .268
h/(1x) = tan 17° = .306
.268x = .306(1x)
x = .533
1x = .467
height = .1428 mi = 754 ft
If the balloon is not between the stones, let it be x from the farther stone and x1 from the nearer
h/x = tan 15° = .268
h/(x1) = tan 17° = .306
.268x = .306(x1)
x = 4.5
x1 = 3.5
h = .268*4.5 = 1.206 mi = 6367 ft
Respond to this Question
Similar Questions

trig
weather balloon is directly west of two observing stations that are 10 mi apart. The angles of elevation of the balloon from the two stations are 17.6 degrees and 78.2 degrees. How high is the balloon? 
trig
howard and keight who are 2km apart are on a horizontal plane observe a balloon in the same vertical plane with themselves the angles of elevation are 50 degrees and 65 degrees respectively find the height of the balloon. A.if its … 
trigonometry
howard and keight who are 2km apart are on a horizontal plane observe a balloon in the same vertical plane with themselves the angles of elevation are 50 degrees and 65 degrees respectively find the height of the balloon. A.if its … 
PreCalc
A hotair balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. … 
algebra
A weather balloon is directly west of two observing stations that are 10 miles apart. The angles of elevation of the balloon from the two stations are 17.6 degrees and 78.2 degrees. How high is the balloon? 
Trig
A weather balloon is sighted between points A and B which are 5 miles apart on level ground. The angle of elevation of the balloon from A is 37 degrees and it's angle of elevation from B is 58 degrees. Find the height, in feet, of … 
Trigonometry
Two observers who are 2 miles apart on a horizontal plane observe a balloon in a same vertical plane with themselves. the angles of elevation are 50 degrees and 65 degrees respectively. find the height of the balloon,(a)if it is between … 
trigonometry
a captive balloon is connected to a ground station A by a cable of length 842 ft inclined 65 degrees to the horizontal. In a vertical plane with the balloon and its station and on the opposite side of the balloon from A, a target B … 
trigonometry
a captive balloon is connected to a ground station A by a cable of length 842 ft inclined 65 degrees to the horizontal. In a vertical plane with the balloon and its station and on the opposite side of the balloon from A, a target B … 
math
a captive balloon is connected to a ground station A by a cable of length 842 ft inclined 65 degrees to the horizontal. In a vertical plane with the balloon and its station and on the opposite side of the balloon from A, a target B …