Mathematics: Apipe is 31 inches long. it is to be cut into three pieces such that the longest is three times as long as the shortest and the middle-sized piece is 1 inch longer than the shortest. how long is the middle-sized piece?

Apipe is 31 inches long. it is to be cut into three

mostman077

18.05.2021

The height of the kite is equal to $178.7\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

The point A is your hand and point C is the kite

we know that

In the right triangle BCD

$sin(44^o)=\frac{CD}{BC}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(44^o)=\frac{CD}{250}$

solve for CD

$CD=sin(44^o)(250)=173.7\ ft$

The height of the kite is equal to

$AB+CD=5+173.7=178.7\ ft$

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