Solved Examples on Tan 30 Degree
Let’s solve some example problems on Tan 30 Degree.
Example 1: In a right-angle triangle, one angle is 30°, and the base for 30° is 3m. Find the length of the perpendicular.
Solution:
Given: Base = 3m
Tan 30 = 1/√3
P/B = 1/√3
P/3 = 1/√3
p = √3
Example 2: In a right triangle hypotenuse is 20 cm, and one side is 10√3 cm, find the angles of the triangle.
Solution:
Given: H = 20, and B = 10√3
Finding third side using pythagoras theorem.
P2 + B2 = H2
P2 + (10√3)2 = 202
p2 + 300 = 400
P2 = 100
p = 10
The third side is 10cm. The ratio of the two sides 10cm and 10√3cm is 1/√3, So there must be an angle of 30° in triangle Since the triangle is a right angle, so the third angle is
90° – 30° = 60°
The Angles of a triangle are 30°, 60°, 90°.
Tan 30 Degrees
The value of tan 30 degrees is 1/2. In radians, tan 30° is written as tan π/6. In fraction form, the value of tan 30° is 1/√3, and in decimal form, the value is 0.577.
In this article, we are going to learn how to derive the value of tan 30 degrees and its use in trigonometric functions.
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