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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
+5924
+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
Sort:

#1
+5924
+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

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