Question
a surveyor 1standing on a highway observed the angle of elevation of the airplain as 22.5°. at the same time, a surveyor 2 observed the angle of elevation of the same airplane to be 30°. if the airplane was 850m directly above a point on the highway, find the distance between the twi surveyors
Answers
There are two different cases here,
you don't say if they are on the same side of the plane, or opposite sides of the plane.
(eg. both looking east , or one looking east the other looking west)
I have them on opposite sides,
horizontal distance from plane of #1
tan22.5 = 750/x1
x1 = 750/tan22.5
similarly
x2 = 750/tan30
distance between = x1 + x2
if they are on the same side, you would take
x1 - x2
you don't say if they are on the same side of the plane, or opposite sides of the plane.
(eg. both looking east , or one looking east the other looking west)
I have them on opposite sides,
horizontal distance from plane of #1
tan22.5 = 750/x1
x1 = 750/tan22.5
similarly
x2 = 750/tan30
distance between = x1 + x2
if they are on the same side, you would take
x1 - x2
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