Abuilding casts a shadow 48 ft long. at the same time, a 40 ft tall flagpole casts a shadow 9.6 ft long. what is the height of the building?

Whatever the building's height happens to be (we'll call it h), we can say that the ratio of its height to its shadow will be the same as the flagpole's height to its shadow. Mathematically, we'd write the ratio of the building' height to its shadow as the fraction , and the ratio of the flagpole to its shadow . Since these are the same value, we can set up the equation

The two fractions are equivalent, which means there is number we can multiply 48 by to get us 9.6, and multiplying h by that same number will get us 40.

Since we're in the world of equivalent fractions, making another one won't cause any harm. If we multiply the numerator and denominator of by 10, it becomes

and now our situation is like this:

We multiply 48 by 2 to get 96, which means that multiplying h by 2 gets us 400. What number multiplied by 2 is 400? That'd simply be 200 (200 x 2 = 400), so the building is 200 feet high.

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq