The leaning tower of Pisa in Italy makes an angle of 86 degrees with the ground. A person standing on the ground approximately 82 feet from the lower tower is looking up at the tower at an angle of 69 degrees. How tall is the tower
Let's denote the height of the tower as h.
From the information given, we can create a right triangle with the tower, the ground, and the person's line of sight. The angle between the tower and the ground is 86 degrees, and the angle between the person's line of sight and the ground (or the angle of elevation) is 69 degrees.
Since the angle between the tower and the ground is 86 degrees, the angle between the tower and the person's line of sight is 86 - 69 = 17 degrees.
Now, we can use the tangent function to find the height of the tower.
tan(17 degrees) = h / 82
h = 82 * tan(17 degrees)
h ≈ 28.68 feet
Therefore, the leaning tower of Pisa is approximately 28.68 feet tall.