Answer:
The change in the angle of elevation is approximately 63.435°
Step-by-step explanation:
The given parameters are;
The speed of the tightrope walker = 3 ft./sec
The altitude at which the tightrope walker is moving = 100 ft.
The horizontal distance of the tightrope walker from the searchlight = 200 feet
The final angle of elevation, θ, is given by the trigonometric ratio as follows;
Whereby the tightrope walker was initially vertically overhead the search light, the initial angle of elevation = 90°
The change in the angle of elevation = The initial angle of elevation - The final angle of elevation
Substituting the values gives
The change in the angle of elevation = 90° - 26.565 ≈ 63.435°
Y=mx+c isn't an equation to solve. It's the slope-intercept formula for graphing lines.
y and x are the variables, and m and c are the constants.
As an example, the line y=4x+2 looks like this:
Still begging? OK. Let's do it with algebra first then put in the numbers.
We're given the Circumference of a circle C, and we want the area A.
The radius is related to the circumference by
C = 2π r
The area is related to the radius by
A = π r²
Solving for r in the first equation,
r = C/(2π)
So the area is
A = π ( C/(2π) )² = πC²/(4π²) = C²/(4π)
---------------------------
OK we're given C=25 1/7 inches, π≈22/7
C = (7×25 + 1)/7 = 176/7 = (22×8)/7
That's a little convenient.
A = C²/4π = ( (22×8)/7 )² / (4 (22/7) ) = (8²/4) (22/7) = (16*22)/7 = 352/7
After those nice numbers they want an approximation. How disappointing.
A = 50.2857142857 sq inches
Answer: 50.29
4.5 I think I tried I don’t really know the answer
But good luck
And have a great day