Heights And Distances Trigonometry Worksheet With Answers - The Institute Of Mathematical Science
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7An Invitation to Science and Mathematics
The Institute of Mathematical sciences
An application of Trigonometry - Heights and Distances
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Revision :
Let us first recall the things we have studied about trigonometry :
• Trigonometry is the study of measurements of triangles.
• An angle is a portion of the 2-dimensional plane which resides between
two different directed line segments. The starting position of the angle
is known as the initial side and the ending position of the angle is
known as the terminal side. The point from which both of the directed
line segments originate is known as the vertex of the angle.
Figure 1: Here Q is the vertex, QR is the initial side and QP is the terminal
side. Angle is denoted by
P QR
• A right-angled triangle is a special type of triangle where one of its
o
o
interior angle is 90
. Side opposite to 90
is called the Hypotenuse.
• Pythagoras Theorem : In a right-angled triangle, the square of the
length of the hypotenuse is equal to the sum of the squares of the other
two sides.
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