The distance you can calculate with the given values will be 5 feet short of the real height of the building.
≈ 1469 feet
Practice makes perfect
Let's illustrate the situation in a diagram. We will label the height of the Empire State Building x+5. Note that this diagram is not to scale.
With the information given, we can calculate the vertical distance x between Kamillah's eyes and the top of the building using the tangent ratio.
tan θ=opposite/adjacent
Let's identify the opposite and adjacent leg to the given angle in our diagram.
The distance between Kamillah's eyes and the top of the Empire State Building is about 1464 feet. To obtain the total distance from the ground, we have to add the distance between the ground and Kamillah's eyes.
1464+5=1469 feet
