Respuesta :
Answer:
196.6 feet
Step-by-step explanation:
Draw the right triangle formed by the zip-line. Use SOH-CAH-TOA to write and solve an equation:
tan 11.5° = 40 / x
x = 40 / tan 11.5°
x = 196.6
The horizontal distance between the towers is 196.60 ft.
What are heights and distances in trigonometry?
Distance is the measurement of an object from a specific point in the horizontal direction, and height is the measurement of an object in the vertical direction.
Here, ∅₁ is called the angle of elevation and ∅₂ is called the angle of depression. For one specific type of problem in height and distances, we have a generalized formula. Height = Distance moved / [cot(original angle) – cot(final angle)] => h = d / (cot ∅₁ – cot ∅₂)
Given:
The vertical height of the zip line = 40 ft
The angle of elevation = 11.5°
We know, according to trigonometric values tan n = height / base
∴ tan 11.5 = 40 / base
base = 40/ tan 11.5
base = 40 / 0.203
base = 196. 60 ft
Therefore, the horizontal distance between the towers is 196.60 ft.
To learn more about heights and distances refer to :
https://brainly.com/question/17089830
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