Question

you are standing 192 feet away from the base of a building and your Claremont kilometer measures 23° when it's looking at the top of the building this angle is the one between the ground and the top of the building please calculate the height of the building

Answer 1

The diagram representing the scenario is shown below

The triangle formed is a right triangle

AB = 192 = distance from base of buiding to your feet

BC = height of building

Taking angle 23 as the reference angle,

adjacent side = 192

opposite side = BC

We would calculate BC by applying the tangent trigonometric ratio which is expressed as

tan θ = opposite side/adjacent side

By substituting the given values,

tan23 = BC/192

By crossmultiplying,

BC = 192tan23

BC = 81.499

Rounding to the nearest whole number,

height of building = 82 feet