Answer:
Step-by-step explanation:
A right angle triangle is formed.
The length of the guy wire represents the hypotenuse of the right angle triangle.
The height of the antenna represents the opposite side of the right angle triangle.
The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.
To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
41² = 32.8² + h²
1681 = 1075.84 + h²
h² = 1681 - 1075.84 = 605.16
h = √605.16
h = 24.6 m
To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos θ = 24.6/41 = 0.6
θ = Cos^-1(0.6)
θ = 53.1°
Answer:
17.5 cubic feet
1163.75 pounds
Step-by-step explanation:
Givens
L = 3.5 Given
W = 5/7 * 3.5 Divide by 7
W = 5 * 0.5 Combine
W = 2.5
H = 4/5 * w
H = 4/5 * 2.5
H = 4 * 0.5
H = 2
Volume
V = L * w * h
V = 3.5 * 2.5 * 2
V = 17.5
Weight
1 Cubic foot Milk = 66.5 pounds
17.5 cubic feet milk = x
1 / 17.5 = 66.5/ x
x = 17.5 * 66.5
x = 1164.75
Answer:
6.71
Step-by-step explanation:
6.7082039325
Round it.
6.71
Right angle (angle p) = 90°
supplementary means total equals 180°
so 90° + q = 180°
subtract 90° from both sides
q = 90°
