Answer: To solve such problems we need to know about Trigonometry.
Trigonometric functions
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The value of x is 5√3.
Explanation: Given to us,
the base for the triangle, AB = 5 units,
Hypotenuse for the triangle, BC = 10 units,
∠B = 60°,
Solution
The question can be solved in two ways,
1. Using the Pythagoras theorem,
According to Pythagoras theorem,
substituting the values,
2. using the trigonometric function for ∠B,
for ∠B in ΔABC,
substituting the values,
we know that value of tan(60°) is √3,
Hence, the value of x is 5√3.