Make your necessary diagram.
Look at triangle PTQ
angle QPT = 25° , since angle of elevation was given as 65°
angle TQP = 115°, which leaves 40° for angle T
by the sine law:
TP/sin115 = 20/sin40
TP = 20sin115/sin40 = ....
but TP is the hypotenuse of the original righ-angled triangle with the flagpole (flogpole, flugpole) as its vertical side, so
sin65° = height of flagpole/TP
height of flagpole = TPsin65 = ...
A flugpole and a building stand on the same horizontal level. From the point P at tue bottom of the building, the angle of elevation of the top of the flogpole is 65 degree from the top Q of the building the angle of elevation of the point T is 25 degree. If the building is 20m high, calculate (a) distance PT (b) Height of the flogpole (c) distance QT
1 answer
1 answer