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Answer: The angle of elevation is 18.4 degrees (Approximately)
Step-by-step explanation: Please refer to the picture attached for more details.
The pole from top to bottom is 20 feet tall and is depicted as line FB. An observer is standing at a distance of 20 feet from the base of the pole, and that is depicted as line BA. The observer who is at point A looks up to the top of the flagpole at an angle of elevation shown as angle A.
Using angle A as the reference angle, line FB which is 20 feet would be the opposite (facing the reference angle), while line BA which is 60 feet would be the adjacent (that lies between the right angle and the reference angle).
Therefore, to calculate angle A;
Tan A = Opposite/Adjacent
Tan A = 20/60
Tan A = 1/3
Tan A = 0.3333
Checking with your calculator or table of values,
A = 18.4349°
Rounded to the nearest tenth,
A ≈ 18.4°
Answer:
- ∠XVR = 125°
- ∠RVS = 55°
- ∠WVS = 125°
Step-by-step explanation:
Any angles on opposite sides of the intersection point of crossing lines are "vertical" angles, and they have identical measure.
Any angles along the same side of the same line are "linear" angles, and they are supplementary (add to 180°).
The angles inside a triangle add to 180°.
Using these relationships, work from the given information to find the rest of the angles.
