if you know the tangent ratio of a given angle, you already know that the ratio is a result of dividing opposite side over tangent. If you know the length of one side, the you can get the other.
let us say there exits an angle θ that has a tan ratio of 0.821 and the side opposite to it is 8.5 cm. Then the adjacent side can be obtained as follow:
Example
Find the length BC in the figure below:
solution
The side BC is the opposite side and line AB which is the adjacent side to angle θ which is equal to 70o is equal to 25cm. Then we proceeds as follows:
Exercise Questions
Use tangents to find the lengths of the side marked x in the below tri-angles.
Q1: Find the unknown side in each of the following
(a)
(b)
Q2: Find the unknown angle θ,α in each of the following triangle
(a)
(b)
