Point B on the ground is the base of a vertical pillar AB. Two points D & C on the
ground lie on straight line BCD. From one of the
2 points C and D the elevation angle to point A is 45° and from another it is 53°. If CD=3m.
find the height of pillar AB.
pls help me quickly.....
Answers
TRIGONOMETRY
Here, we will be having two cases as we don't know which angle is 45° and which is 53°.
Therefore, we will he taking both the considerations
CASES :
- When ∠ACB = 45° and ∠ADB = 53°
- When ∠ACB = 53° and ∠ADB = 45°
We will be applying trigonometric ratios to find the value of the height of the pillar in both the cases.
In the solution, we have assumed the following parameters :
- AB = x metres
- BC = y metres
By solving through the first case, we get AB = - 12 m which is not possible as the height of the pillar cannot be negative.
Therefore, we try solving by switching the angles which is the second case.
By solving through the second case, we get AB = 12 m
which is the right value of the height of the pillar.
=> So, the height of the pillar is 12 metres.
Answer:
Explanation:
Here, we will be having two cases as we don't know which angle is 45° and which is 53°.
Therefore, we will he taking both the considerations
CASES :
When ∠ACB = 45° and ∠ADB = 53°
When ∠ACB = 53° and ∠ADB = 45°
We will be applying trigonometric ratios to find the value of the height of the pillar in both the cases.
In the solution, we have assumed the following parameters :
AB = x metres
BC = y metres
By solving through the first case, we get AB = - 12 m which is not possible as the height of the pillar cannot be negative.
Therefore, we try solving by switching the angles which is the second case.
By solving through the second case, we get AB = 12 m
which is the right value of the height of the pillar.
=> So, the height of the pillar is 12 metres.
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