A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. how tall is the tower?

For this case we can use the following trigonometric relationship:

tan (x) = C. O / C. A

Where,

x: angle (elevation of the sun)

C. O: opposite leg (height of the tower)

C. A: Adjacent Leg (shadow of the tower)

Clearing we have:

C. O = C. A * tan (x)

Substituting values:

h = 60 * tan (65)

h = 128.67 feet

Answer:

the tower is 128.67 feet tall