The ends of a rope are held in place at the top of two posts, 9 m apart and each one 8 m high. If the rope assumes a parabolic shape and touches the ground midway between the two posts, how high is the rope 2 m from one of the posts?

Q: hill is inclined 20 degrees to the horizontal. A pole stands vertically on the side of the hill with…

A: Here, from the given data:

Q: A rectangular parcel of land is 70 ft longer than it is wide. Each diagonal between opposite corners…

A: We have given; A rectangular parcel of land is 70 ft longer than it is wide and the diagonal is 130…

Q: The front wheel of a tricycle has a circumference of 56 inches, and the back wheels have a…

A: topic - lowest common multiple 56=2*2*2*7 24=2*2*2*3 LCM(56,24)=2*2*2*3*7=168

Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

Q: Two vertical poles, 20m and 80m tall respectively, stand apart on a horizontal plane. Join the top…

A:

Q: If we have a pyramid with all sides equal to 10 meters, what is the height of the pyramid?

A: If you have any questions let me know in comment box thankyou for your question.

Q: The shape of the cable in a suspension bridge is parabolic when it is suspended between two towers…

A:

Q: An architect is designing a two-story house that is located at 40°N latitude. The architect wants to…

A: How much roof overhang should the architect provide so that at noon on the day of the summer…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.