Answer:
21
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse (opposite the right angle)
20^2 +b^2 = 29^2
400 + b^2 =841
Subtract 400 from each side
400-400 +b^2 = 841-400
b^2 = 441
Take the square root of each side
sqrt(b^2) = sqrt(441)
b = 21
Answer:
2.17ft/s
Step-by-step explanation:
Look at the sketch of ladder at the beginning and after 3 seconds it starts to fall,
Distance of ladder from the wall 3 seconds after ladder starts to fall = Initial distance+ Velocity× time
= 6 + 2×3
= 12ft
Use trignometry to find out the speed of the top of ladder
cosθ= 12/20
θ= 0.825 rad
tan θ= v/2
v= 2.17ft/s
solve for "y" so it is in the form y = mx + b. "m" is the slope and "b" is the y-intercept.
ax + by = c
by = -ax + c <em>subtracted "ax" from both sides</em>
y = (-a/b)x + c/b <em>divided both sides by "b"</em>
Answer: slope is -a/b and y-intercept is c/b