Arithmetic
Additive Identity
Arithmetic Progression
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Cartesian System
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Quadrilateral
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range

Videos
Solved Problems
Home >> Trigonometry Ratios >> Find Height, Distance using T - Ratios >> Angle of Elevation >> Examples

Angle of Elevation and find Height & Distance : Solved Examples

Angle of Elevation Angle of Depression

At a point 10m away from the foot of a building, the angle of elevation of the top of building is 60° find the height of building
Let AB is the building. B is the foot and A is the top of building. C is the point on the ground at which the angle of elevation is 60°

so we get
CB = 10m
∠ BCA = 60°
AB = ?



In the right △ ABC

We know that Tan θ = Opposite Side / Adjacent Side

tan 60° = AB
BC


 3  = AB
10


AB = 10 x  3 


Value of  3  is 1.73 so,

AB = 10 x 1.73 = 17.3

AB = 17.3m is the height

Related Question Examples

  • At a point 20m away from the foot of a building, the angle of elevation of the top of building is 30° find the height of building
  • At a point 10m away from the foot of a building, the angle of elevation of the top of building is 30° find the height of building
  • At a point 10m away from the foot of a building, the angle of elevation of the top of building is 60° find the height of building
  • A tower is 10m high. A steel wire is tied at the top of pole and is affixed at a point on the ground. If the steel wire makes an angle of 45° find the length of steel wire
  • A mountain is 90m high. A steel wire is tied at the top of mountain and is affixed at a point on the ground. If the steel wire makes an angle of 45° find the length of steel wire
  • A mountain is 50m high. A steel wire is tied at the top of mountain and is affixed at a point on the ground. If the steel wire makes an angle of 30° find the length of steel wire
  • A pole is 30m high. A steel wire is tied at the top of pole and is affixed at a point on the ground. If the steel wire makes an angle of 30° find the length of steel wire
  • A building is 70m high. A steel wire is tied at the top of pole and is affixed at a point on the ground. If the steel wire makes an angle of 30° find the length of steel wire
  • Copyright@2022 Algebraden.com (Math, Algebra & Geometry tutorials for school and home education)