Arino can run at speeds about 28 miles per hour. what is that speed in feet per secsec, to the nearest whole number? (remember there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in a hour.)

Remark

You can use  a method called unit analysis to solve this problem. You will use it many times in your education later on.

Solve

Now sort out the numbers  in the numerator and those in the denominator and multiply them together.

Numerator 28 * 5280 * 1 * 1 = 147840

Denominator: 60 * 60 = 3600

Now divide the numerator by denominator

Answer = 147840 / 3600 = 41.1 Feet / second

28 miles per hour = 41.1 feet / second

The ladder will go approximately 35.71 ft up the building.

Step-by-step explanation:

The 50 ft ladder is leaning against a building and the base of the ladder is 35 feet from the base of the building.

It means the ladder will form a right triangle with the building with the following dimensions:

Using the Pythagorean Theorem to determine the height,

Here,

Substitute the given values into the equation to determine the height:

We know that height can not be negative. Thus,

ft

Therefore, the ladder will go approximately 35.71 ft up the building.