Given:
The figure of a trapezium.
To find:
The measures of missing angle .
Solution:
In the given figure .
If a transversal line intersect the two parallel lines, then the same sides interior angles are supplementary angles.
(Supplementary angles)
Similarly,
(Supplementary angles)
Therefore, and .
If the top slips down the wall at a rate of 2 ft/s, then 3.476 ft/s fast the foot will be moving away from the wall when the top is 10 feet above the ground.
In the given question, a 15 foot ladder is leaning against a wall. if the top slips down the wall at a rate of 2 ft/s.
We have to find how fast will the foot be moving away from the wall when the top is 10 feet above the ground.
As given, 15ft ladder dy/dt= -2y=13ft
Let the length be x and height be y
So from the Pythagorean theorem
x^2+y^2=h^2
Now apply the above formula to get the value
x^2+y^2=15^2
Take the derivative with respect to time
2x * dx/dt+2y*dy/dt=0
dx/dt= -y/x *dy/dt
When y = 13
then x^2+13^2=15^2
x = 7.48
dx/dt= -13/748 * (- 2)
dx/dt= 3.476 ft/s
Hence, if the top slips down the wall at a rate of 2 ft/s, 3.476 ft/s fast will the foot be moving away from the wall when the top is 10 feet above the ground.
To learn more about Pythagorean theorem link is here
brainly.com/question/28361847
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Answer:
what is the question
Step-by-step explanation:
Answer:
0.13
Step-by-step explanation:
1 represents the whole class
1-0.87=0.13