<h3><u>Answer:</u></h3>

<h3><u>Solution</u><u>:</u></h3>
we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

Here,
- hypotenuse = 23 feet
= 76°- Value of Sin
= 0.97 - Perpendicular = ?





ㅤㅤㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>distance </u><u>from </u><u>the </u><u>top </u><u>of </u><u>the </u><u>ladder </u><u>to </u><u>the </u><u>ground </u><u>is </u><u>2</u><u>2</u><u>.</u><u>3</u><u>2</u><u> </u><u>feet </u><u>!</u>

Answer:
Height = 5 ft
Short base = 10 ft
Long base = 14 ft
Step-by-step explanation:
Let h = height, a = short base, b = long base.
From the question,
a = 2h
b = a + 4 = 2h + 4
The area of the trapezoid is given by
. Thus,







or 
or 
We discard the negative value of h since it is a measurement and cannot be negative.

Multiply out as indicated: <span>9(r - s) + 5(2r - 2s) = 9r - 9s + 10r - 10s. Next, combine like terms, obtaining 19r -19s (answer)</span>
Answer:
16.25%
=0.163 (correct to 3 decimal places)
Step-by-step explanation:
The child dependency ratio of a population is defined as the number of children (Under 15 years) divided by the working-age population (15–64 years old).

From the given table:
Population Under 15 years = 2600
Population of the working class (between 15-64) = 16000
Therefore:

=0.163 (correct to 3 decimal places)