Question
The angle of elevation from a point on the ground to the top of a tower is 37deg5'. The angle of elevation from a point 120 feet farther back from the
tower is 29deg5'. Find the height of the tower (to the nearest foot).
tower is 29deg5'. Find the height of the tower (to the nearest foot).
Answers
Reiny
did you make a sketch?
I have , top of tower -- P , bottom of tower Q
closer point A
farther point B
In triangle PBA
angle B = 29°5'
angle BAP = 142°55'
angle BPA = 8°
AB = 120
by sine law:
PA/sin 29°5' = 120/sin 8°
PA = 419.1165
now triangle APQ is right-angled
use
sin 37°5' = PQ/PA
you finish it
I have , top of tower -- P , bottom of tower Q
closer point A
farther point B
In triangle PBA
angle B = 29°5'
angle BAP = 142°55'
angle BPA = 8°
AB = 120
by sine law:
PA/sin 29°5' = 120/sin 8°
PA = 419.1165
now triangle APQ is right-angled
use
sin 37°5' = PQ/PA
you finish it
john
I got 263.
Reiny
I get 252.717 or 253