Question

Standing on top of a slope of 5 degrees, i see the top of a building and an angle of elevation of 35degrees15'. i am 160cm tall and it is 12m from the building base. How tall is the building?

Answer 1

assuming you measure the 12m along the ground, we have

the horizontal distance from the base of the building is 12cos5° = 11.95

So, from eye level, the vertical distance to the top of the building is 11.95tan35°15' = 8.45

Add to that the 1.6m of your height, and subtract the rise in the ground of 12sin5° = 1.05m, and the building's height is

8.45+1.60-1.05 = 9.00 m

Answer 2

Thank you!