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:
9.22 repeating, also I'm doing fine :) wear a mask when you go anywhere around people (remember 6 ft), wash your hands, and stay safe!!!
Step-by-step explanation:
First I turned the fraction given into a mixed fraction, so 83/9, I just did that by multiplying 9 by 9 and then add 2.
When converted to a decimal you get 9.22 repeating
the answer to this question is y=2x.
Answer:
Step-by-step explanation:
This problem gives one the following equation to model the graph of a line: (
). The problem asks one to find the value of (x) when (y=0). Rather than using the graph, an easier way to solve this problem is to substitute (0) in for the value of (y) and then solve for (x) using inverse operations.
Substitute,
Inverse operations,
Round:
As one can see on the graph, this result is very close to the value at which the graph intersects the (x) axis. Thus, one can conclude that (x) does indeed approximately equal (1.4)
Answer:
No solution
Step-by-step explanation:
You are given the inequality
First, eliminate brackets in left side of the inequality:
Now separate variables and numbers:
So
The last inequality is false (0 is not less than -2), so the initial inequality has no solution.
