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:
i think theres a typo somewhere
Step-by-step explanation:
Answer:
Area of triangle= Half of perpendicular times base
In short:1/2×p×b
<span>These triangles are impossible:
a triangle with sides of 3 inches, 4 inches, and 8 inches
(the longest side is greater than the sum of the other 2 sides)
an obtuse equilateral triangle
(all angles in an </span><span>equilateral triangle are acute)
</span>
<span>a triangle with two right angles
The angles of ALL triangles must sum exactly to 180 degrees. Two right angles sum to 180 degrees so the third angle would have to be zero degrees.
</span>
Hey!
Ignore the birthday party stuff and go to 95 first. Subtract 9 from 95 you get the answer 86. Next you need to find how many times 8 goes into 86. 86/8 which is 10 with a remainder of 6. Therefore, Guy can donate to 6 animal shelter. I hope this helps with future problems.
