Question

Find the height of the tower using the information given in the illustration. A right triangle has a a vertical side as the height of the Eiffel Tower, a horizontal side of length 130 feet across the ground, and an unlabeled hypotenuse. The angle formed by the hypotenuse and the horizontal side measures 85.691 degrees. 130 ft The height of the tower is nothing feet.

Answer 1

Answer:

1725.1 feet

Step-by-step explanation:

It is given that there is a right angled triangle having a base of length of 130 feet. The angle between the hypotenuse and the base is given as 85.691 degrees.

Therefore, to find the height, we know :

$\tan \theta = \frac{\text{height}}{\text{base}}$

$\tan 85.691 = \frac{\text{h}}{\text{130}}$

$13.27 = \frac{\text{h}}{\text{130}}$

h = 13.27 x 130

  = 1725.1 feet

Therefore, the height of the Eiffel tower =  1725.1 feet