# Height of Object from Angle of Elevation Using Sine

Height of Object from Angle of Elevation Using Sine

You can find the height of an object from the angle of elevation and the distance to the top.

h

θ

r

In this Demonstration, the object is an obelisk, and the distance is found using a laser range finder.

r

The sine of an angle in a right triangle is the length of the opposite side divided by the hypotenuse. In this case, . Therefore, the height of the obelisk is given by .

θ

sinθ=h/r

h=rsinθ