The ladder and the wall it leans on are illustrations of right triangle
The horizontal distance from the base of the ladder is 5.41 feet
<h3>How to determine the horizontal distance?</h3>
The given parameters are:
Length (L) = 26 feet
Angle of elevation (θ) = 78 degrees
The horizontal distance (D) is calculated using the following cosine ratio
cos(θ) = D/L
Substitute known values
cos(78) = D/26
Make D the subject
D = 26 * cos(78)
Multiply
D = 5.41
Hence, the horizontal distance from the base of the ladder is 5.41 feet
Read more about right triangles at:
brainly.com/question/2437195
Answer:
10.
8.
Step-by-step explanation:
10. each step is 36, so i added it twice to get 72.
then add 16 twice = 32
this gives us two sides to our triangle.
We can now use tan since we know opp and adj
tan 32/72 = .44
arctan = 23.75
8. since we again know the opposite and adjacent sides to the angle e are trying to find we can use tan again.
tan 12.5/18 = .694
arctan= 34.76
Answer:
the height of the arch 10 feet from the center is 24 feet
Step-by-step explanation:
An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.
Vertex at (50,25)
vertex form of the equation is
, (h,k) is the center
the parabola starts at (0,0) that is (x,y)
subtract 25 from both sides
divide both sides by 2500
the height of the arch 10 feet from the center.
center is at 50, 10 feet from the center so x=40 and x=60
y=24
the height of the arch 10 feet from the center is 24 feet
Area of a circe = Pi x radius^2
Answer:
B. 184
Step-by-step explanation:
A proportion is an easy way to solve this: