Question

The Willis Tower in Chicago, United States. Dalila is 5.5 feet tall. She looks up at an angle of elevation of 50° to see the top which is 1450 feet above the ground. Based on her measurements, calculate how far away she is from the base of the tower. Round to the nearest hundredth of a foot.

Answer 1

Dalila is approximately 1358.81 feet away from the base of the Willis Tower.

Step-by-step explanation:

To calculate the distance Dalila is from the base of the Willis Tower, we can use trigonometry. We need to find the length of the side adjacent to the angle of elevation. Let's call this distance D. We can use the tangent function to find this value. tan(50°) = D/1450 feet. Rearranging the formula, D = 1450 feet * tan(50°). Plugging in the values and calculating, we get D ≈ 1358.81 feet. Therefore, Dalila is approximately 1358.81 feet away from the base of the tower.