The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.
<h3>How to solve the length?</h3>
Here, we have two similar right triangles, ΔABE and ΔCDE.
CD = 11 ft
DE = 2 ft
BD = 35 ft
First, find AB:
AB/11 = (35 + 2)/2
AB/11 = 37/2
Cross multiply
AB = (37 × 11)/2
AB = 203.5 ft
Then, apply Pythagorean Theorem to find AE:
AE = √(AB² + BE²)
AE = √(203.5² + 37²)
AE = 207 ft
Therefore, the length of the guy wire is 207 ft.
Learn more about Pythagorean theorem on:
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Answer:
Slope=2.2/5.5 or 0.4
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
Hence:
slope=(4.4-2.2)/(11-5.5)
slope=2.2/5.5=0.4
The city do not have up to 5,500 cubic meters of sand that will be needed to combat erosion.
<h3>
Volume</h3>
Volume is the amount of space occupied by a three dimensional object or figure. The volume (V) of a cone is given by:
V = (1/3)πr²h
Where h is the height, and r is the radius
Given that h = 35 m, the radius using Pythagoras theorem:
37² = r² + 35²
r = 12
V = (1/3)π(12)² * 35 = 5280 m³
The city do not have up to 5,500 cubic meters of sand that will be needed to combat erosion.
Find out more on Volume at: brainly.com/question/1972490
