The angle of elevation of a pillar from a point A on the ground is 45°

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The angle of elevation of a pillar from a point A on the ground is 45° and from a point B diametrically opposite to A and on the other side of the pillar is 60°. Find the height of the pillar, given that the distance between A and B is 15 m.

Solution:

Let CD be the pillar and let CD = x
Angles of elevation of points A and B are 45° and 60° respectively.

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 20 Heights and Distances Ex 20 Q27.1

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 20 Heights and Distances Ex 20 Q27.2

From two points A and B on the same side of a building, the angles of elevation of the top of the building are 30° and 60° respectively. If the height of the building is 10 m, find the distance between A and B correct to two decimal places

Solution:

In ∆DBC, tan 60° = \\ \frac { 10 }{ BC }
⇒ √3= \\ \frac { 10 }{ BC }
⇒ BC = \frac { 10 }{ \sqrt { 3 } }
∆DBC ,tan 30° = \\ \frac { 10 }{ BC+AB }

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 20 Heights and Distances Ex 20 Q28.1

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 20 Heights and Distances Ex 20 Q28.2

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