How do find a number out of a percent
2 answers:
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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
