From a point on the ground 12ft from the base of a flagpole, the angle of elevation of the top of the pole measures 53 degrees. how tall is the flagpole

The height of flagpole is 15.925 feet.

Let us consider the height of flagpole is h feet.

Since, angle of elevation is 53 degree.

According to question statement, a right triangle is formed where base is 12 feet .

We have to find height i.e. height of flagpole

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the flagpole is 16 feet tall.

Step-by-step explanation:

A right angle triangle is formed.

The distance of the point on the ground from the base of the flagpole represents the adjacent side of the right angle. The height of the flagpole from the ground represents the opposite side of the right angle.

To determine the height, h of the flagpole, we would apply the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 53 = h/12

h = 12Tan53 = 12 × 1.327

h = 16 feet to the nearest whole number

Step-by-step explanation:

For this exercise you need to find the Least Common Multiple (LCM).

The steps two find the Least Common Multiple are shown below:

1. Descompose the numbers into their prime factors.

2. Multiply the commons an non commons with the highest exponent. The product obtained will be the Least Common Multiple.

Knowing this, you can find the Least Common Multiple between 7 and 11. This is:

Therefore the smallest number of biscuits each must have baked is: