Answer:
the angle of elevation is 12.56°
Step-by-step explanation:
the height of the ramp represents the opposite side and the length of the ramp the hypotenuse
we see that it has (angle, hypotenuse, opposite)
well to start we have to know the relationship between angles, legs and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we choose the one with opposite and hypotenuse
sin α = o/h
sin α = 5ft / 23ft
sin α = 5/23
α = sin^-1 ( 5/23)
α = 12.56°
the angle of elevation is 12.56°
Answer:
3 / 4 * 50 = 150 / 4
= 37.5 or 37½ yards
Step-by-step explanation:
The formula is L = 2 pi r * (angle measure / 360). We have everything we need to solve this, the angle is 90 and the radius is 12: L = 2 pi (12) (90/360). Do the work inside the parenthesis first to get : L = 2 pi (12)(.25). Solving for L: L = 6pi
The estimated sum of 196 and 482 is 700.
We do estimates when we do mental calculation. We relate the number to the nearest number that can easily be computed mentally.
196 is near 200 so we round it up to 200
482 is near 500 so we round it up to 500
Thus, 200 + 500 = 700.
700 is the estimated sum.
