Question

For a person standing 100m from the center of the base of the excel tower, the angle of elevation to the top of the tower is 71.6 degrees. How tall is the effect tower

Answer 1

Answer:

Given the statement: For a person standing 100 m from the center of the base of the excel tower, the angle of elevation to the top of the tower is 71.6 degrees.

Let h be the height of the Eiffel tower.

Angle of elevation is, $\theta =71.6^{\circ}$

Distance of boy standing from the center of the base of the Eiffel tower is, 100 m.

Using tangent ratio:

$\tan \theta = \frac{\text{opposite side}}{\text{Adjacent side}}$

From the given figure as shown;

Solve for h;

$\tan 71.6 = \frac{h}{100}$

Multiply both sides by 100 we have;

$h = 100 \tan 71.6$

or

$h = 100 \times 3.0061109035$

Simplify:

$h \approx 300 m$

therefore, the height of the Eiffel tower is, 300m