the angle of elevation from the top of a 16m building to the top of a second building is 48 degrees,

The buildings are 30m apart. What is the height of the taller building?

Guest Dec 21, 2017

#1**+1 **

First let's just look at the right triangle on top. The side adjacent to the 48° angle is 30 m. And we can find the length of the side opposite using tangent.

tan 48° = opposite / 30 Multiply both sides by 30 .

opposite = 30 tan 48°

And....

height of taller tower = 16 + 30 tan 48° ≈ 49.318 m

hectictar
Dec 21, 2017

#1**+1 **

Best Answer

First let's just look at the right triangle on top. The side adjacent to the 48° angle is 30 m. And we can find the length of the side opposite using tangent.

tan 48° = opposite / 30 Multiply both sides by 30 .

opposite = 30 tan 48°

And....

height of taller tower = 16 + 30 tan 48° ≈ 49.318 m

hectictar
Dec 21, 2017