Tips and Tricks: Height & Distance

# Height and Distance Tips and Tricks for Government Exams

## Height Definition

The measurement of an object in the vertical direction known as Height.

## Distance Definition

The measurement of an object from a particular point in the horizontal direction Known as Distance .

### How to solve word problems that involve angle of elevation or depression Shortcuts and Easy Tips & Tricks to solve questions

• Step 1: Draw a sketch of the situation given.
• Step 2: Mark in the given angle of elevation or depression and other information.
• Step 3: Use trigonometry to find the required missing length.

## Height and Distance Tips and Tricks & Shortcuts

There are two primary ways to express the angular relationship between the height of an object and an observer's line of sight:

• Angle of Elevation: This refers to the angle formed between the horizontal line and the line of sight from the observer's eye to an object situated above the observer.
• Angle of Depression: When the object is positioned below the observer's level, the angle between the horizontal line and the observer's line of sight to the object is termed the angle of depression.

### Type 1: Find the distance/height/base/length when angle is given

Example: A boy is flying a kite in the evening. The thread of the kite was 120 m long and the angle of elevation with the boy’s eyes was 30°. Find the height of the kite?
(a) 30 m
(b) 60 m
(c) 40 m
(d) 55 m
Ans:
(b)
Sin 30° = Perpendicular/Hypotenuse = AC/AB
1/2 = ℎ/120
h = 60 m

### Type 2: Find the angle when distance/height/base/length is given

Example: Find the angle of elevation of the sun when the shadow of a pole of 18 m height is 6√3 m long?
(a) 45°
(b) 60°
(c) 30°
(d) 90°
Ans:
(b)
Let AB be the pole and CB be the shadow
Given that AB = 18 m and CB = 6√3
Let the angle of elevation, ACB = θ
From the right ΔABC, Tan θ = Perpendicular/Base =
Therefore, θ = tan–1(√3) = 60°

The document Height and Distance Tips and Tricks for Government Exams is a part of the SSC CGL Course Quantitative Aptitude for SSC CGL.
All you need of SSC CGL at this link: SSC CGL

## Quantitative Aptitude for SSC CGL

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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests

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