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
Is there a question that goes with this command?
Answer:
The hypotenuse is 68
Step-by-step explanation:
To find the length of the hypotenuse of a a right angled triangle, we use the Pythagoras Theorem
c² = a² + b²
where c = hypotenuse, a = height, 32 and b = width, 60
Substitute the value 32 and 60 for a and b respectively in the above formula, and we will have
c² = 32² + 60²
c² = 1024 + 3600
c² = 4624
c = √4624
c = 68
X= 4
both of the angles are the same degrees so you figure out the difference between 50 and 22 and take that divided by 7 to get x
50-22
28/7
=4
