The another way to represent the same line, for solving will be:
<u><em>Explanation</em></u>
Given equation of the line is:
"Solving " means <u>we need to get</u>
<u>alone in left side.</u> So, we will eliminate all other terms except
from the left side.
First we will <u>subtract 2x </u>from both sides. So, we will get......
Now, we will <u>divide both sides by 3</u> for getting alone. So.....
Thus, the another way to represent the same line, for solving will be:
Answer:
<em>The height of the building is 21.38 m</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
The image attached shows the measures and angles provided in the problem. The first angle of elevation is y=22°, the man walks B=20 m and finds the new angle of elevation is x=33°.
It's required to find the height of the building H.
The tangent ratio relates the opposite side with the adjacent side of a given angle. Applying it to the larger triangle:
Multiplying by D+B:
Dividing by tan 22°
Subtracting B:
Applying to the smaller triangle:
Multiplying by D:
Substituting from [1]:
Substituting values:
Operating:
H = 21.38 m
The height of the building is 21.38 m
