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 is 82
substitute z for 9
9^2 = 81+ 1= 82
Answer: -3 degrees
Step-by-step explanation:
Lets say that the original temperature was "x."
The temperature rose by 11 degrees so it is now at 11+x.
Then the temperature fell by 14 degrees so you subtract. 11+x-14
11-14= -3 so you subtract 3 degrees from the original temperature and there fore the relative temperature is -3
I hope this helps!!!
K=d
d=5
Since K is equal to d, and d is 5, the value of K is 5.
K=5
5(K)=5(d)
