Question

From a point on level ground 5280 feet from the base of the tower, the angle of elevation is 27.1 . Approximate the height of the tower to the nearest foot

Answer 1

Answer:

The height of the tower=2,702 feet

Step-by-step explanation:

The angle of elevation is the angle between the horizontal level ground and the hypotenuse. Since we have the horizontal distance, we can use this to estimate the vertical height from the base of the tower using the expression below;

Tan∅=h/b

where;

∅=the angle of elevation

h=vertical height of the tower

b=the distance from the base of the tower to the point on level ground

In our case;

∅=27.1°

h=unknown

b=5280 feet

replacing;

Tan 27.1=h/5280

h=5,280×Tan 27.1

h=2,701.91 feet

2,701.91 to the nearest foot=2,702 feet

The height of the tower=2,702 feet