Question

while walking to school you pass a barn with a silo. Looking up to the top of the silo you estimate the angle of elevation to the top of the silo to be about 14 degrees. You continue walking and find that you were around 40m from the silo. Using this information and your knowledge of trigonometric ratios calculate the height of the silo.

Answer 1

To calculate the height of the silo, we can use the trigonometric ratio tangent (Tan). Given the angle of elevation and the distance from the silo, we can solve for the height.

Step-by-step explanation:

To calculate the height of the silo, we can use the trigonometric ratio tangent(Tan).

Given that the angle of elevation is 14 degrees and the distance from the silo is 40m, we can set up the equation:

Tan(14°) = height of silo / 40m

Solving for the height of the silo:

height of silo = 40m * Tan(14°)

Using a scientific calculator, the height of the silo is approximately 10.13m.