Answer:
- angles: 31.42°, 31.42°, 117.16°
- legs: 23.79 m
Step-by-step explanation:
The base angles can be found from the definition of the tangent function:
tan(base angle) = height/(half-base length)
base angle = arctan(12.4/20.3) ≈ 31.418°
Then the apex angle is double the complement of this:
apex angle = 2(90° -31.418°) ≈ 117.164°
The base angles are 31.42°, and the apex angle is 117.16°.
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The leg lengths can be computed from the Pythagorean theorem applied to the altitude and the half-base length.
leg length = √(12.4² +20.3²) = √565.85 ≈ 23.789 . . . . meters
The length of the legs is about 23.79 m.
The height of the ramp above the ground from its highest end is 7.9 inches.
<h3>What is height?</h3>
Height is the vertical distance between two points.
To calculate the height of the ramp above the ground, we use the formula below.
Formula:
- h = Lsin∅............. Equation 1
Where:
- h = Height of the ramp above the ground
- L = Length of the fiberboard
- ∅ = Angle of elevation from the ground
From the question,
Given:
Substitute these values into equation 1
- h = 27×sin17°
- h = 7.89
- h ≈ 7.9 inches
Hence, the height of the ramp above the ground is 7.9 inches.
Learn more about height here: brainly.com/question/23144757
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Original songs he has are 41.
Bought songs per week are 4.
Bought songs in 110 weeks are (4*110) = 440
Total songs he bought altogether
41 + 440
A because it can’t be 100 and it can’t be 625 and it can’t be 50 so it has to be A
i dont have time to do all of it (sorry)
but this is how you do the point and slope questions:
use the equation: y-y1 = m(x - x1)
y1 is the y point you are given
x1 is the x point you are given
m is your slope
substitute all of those in from the question
the first one is:
y --4 = -5/6(x-8)
-- turns into a plus so the answer would be
y+4 = -5/6(x-8)
