In the diagram, a building casts a 20-ft shadow and a flagpole casts a 7-ft shadow. if the flagpole is 12 ft tall, how high is the building? round to the nearest tenth.

Height of Building is 34.3 ft

Step-by-step explanation:

Given Length of shadow of  building = 20 ft

Length of shadow of flagpost     = 7 ft

Height of flagpole = 12 ft

Let, height of building is x

This problem is of Direct proportion,

As when if height of object increases then length of shadow also increases at same time.

We use the result,

therefore, Height of Building is 34.3 ft

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

17

step-by-step explanation: