Step-by-step explanation:
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The height of the pole at which the monkey is at the top is 10.2 feet.
<h3>
Trigonometric ratio</h3>
Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.
Let h represent the height of the pole, hence using trigonometric ratio:
tan(23) = h/24
h = 10.2 feet
The height of the pole at which the monkey is at the top is 10.2 feet.
Find out more on Trigonometric ratio at: brainly.com/question/4326804
Answer:
y = 70 and x = 20
Step-by-step explanation:
180 - 40 = 140
140/2 = 70
70 + 90 = 160
180 - 160 = 20
The distance between two points knowing theirs coordinates:
AB =√[(x₂-x₁)² +(y₂-y₁)²]; ===>A(-2,4) & B(0,-6) Given
A(x₁,y₁) & B(y₂,y₁)
AB =√[(0-(-2))²+(-6-4)²] =√(104) = 10.198 ≈ 10.2
Answer:
y = 140, x = 159
Step-by-step explanation:
Angle y:
we can find this angle by subtracting 40 from 180, 180-40 = 140 = y
Angle x:
Some measure of an angle plus angle b is equal to 180 degrees: 180-61 = 119
We can now find the measure of the third angle of the triangle: 180-(119+40) = 21
The third angle plus angle x is equal to 180: 180-21 = 159 = x
