The angle of elevation to the top of a building is found to be 15 degree from the ground at a distance of 550 feet from the base of the building. using this information, which expression below could be used to calculate the height of the building?
The question is not complete because it does not show the options, however, the problem can still be solved and serve as a teaching for the student.
see the picture attached to better understand the problem
we know that in a right triangle ABC tan 15°=opposite side angle 15°/ adjacent side angle 15° where opposite side angle 15°= h (the height of the building) adjacent side angle 15°=550 ft so tan 15°=h/550-----------> h=550*tan 15°----> h=147.37 ft
the answer is the height of the building is 147.37 ft (round to the nearest hundredth) and the expression to calculate the height of the building is 550*tan 15°
