The length of the guy's wire to the nearest foot is 89 feet.
The situation forms a right-angled triangle.
<h3>Properties of a right angle triangle:</h3>
- A right-angle triangle has one angle of 90 degrees.
- The sides can be found using the Pythagoras theorem.
- The angles can be found using trigonometric ratios.
The hypotenuse of the triangle is the length of the wire.
let's use the smaller triangle to find the angle opposite the tower. Therefore,
tan ∅ = opposite / adjacent
tan ∅ = 5 / 2
∅ = tan⁻¹ 2.5
∅ = 68.1985905136
∅ = 68.20°
Therefore,
cos 68.20 = adjacent / hypotenuse
cos 68.20 = 33 / hypotenuse
hypotenuse = 33 / cos 68.20
hypotenuse = 88.8606843161
Therefore,
length of wire ≈ 89 feet.
learn more on triangles here; brainly.com/question/25762788?referrer=searchResults
Answer:
Step-by-step explanation:
A) 5x = 3(x - 2.5)
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B)
Distribute
5x = 3x - 7.5
Subtract 3x from both sides
2x = -7.5
Divde both sides by 2
x = -3.75
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C)
5 * (-3.75) = 3(-3.75 - 2.5)
-18.75 = -18.75
D)
Tanya paid –$3.75 for each of 5 items
Tony paid –$6.25 for each of 3 items
There seems to be an error in the question since the cost of items is negative
Tony bought fewer items and paid less for each.
Answer:
-10
Step-by-step explanation:
