The bottom of a 20-foot ladder is placed 4 ½ feet from the base of a house. To the nearest foot, at what height does the ladder
touch the house? Height in feet:
1 answer:
Answer: 19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the length of the ladder) and a and b are the other sides.
Replacing with the values given:
20^2 = (4 1/2)^2 + x^2
400=20.25 + x ^2
400-20.25 = x^2
379.75 = x^2
√379.75 = x
x = 19.48
x= 19 ft
Feel free to ask for more if needed or if you did not understand something.
You might be interested in
y = - x +
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 4x + 5 is in this form with slope m - 4
Given the slope of a line m, then the slope () of a line perpendicular to it is
= - (1 / m ) = -
y = - x + c is the partial equation of the perpendicular line
to find c, substitute ( 2, 7 ) into the partial equation
7 = - + c ⇒ c =
y = - x +
← equation of perp. line