Based on the measurements of the pool and the path of uniform width, the area of the width and length of the path can be found to be 28.8 meters.
<h3>How to find the width and length?</h3>
First, find the area of the pool:
= Length x Width
= 10 x 26
= 260 meters ²
The area of the path can therefore be found to be:
= Total area of pool and path combined - Area of pool
= 1,092 - 260
= 832 meters²
Seeing as the path has uniform width, that means that the width is the same and the length so the width and length of the pool is:
= √area of the path
= √832
= 28.8
In conclusion, the width and length of the path are 28.8 meters.
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Answer:

Step-by-step explanation:

Find the GCD of
:





So the prime factor common to 6, 8 is:

So the factor common to
:

Answer:
<em>The firefighter should extend the ladder at 54° of elevation.</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
<em>Tangent Ratio:</em>

The woman is trapped at 91 feet up from the ground, and the firetruck is 67 feet away from the building.
The wall, the ground, and the ladder form a right triangle, where θ is the horizontal angle of the ladder.
Being the height of the woman the opposite leg and the distance where the firetruck is parked, the adjacent leg:

The angle is calculated as the inverse tangent:

The firefighter should extend the ladder at 54° of elevation.