given right triangle XYZ what is the value of tan 60°
Accepted Solution
A:
I have attached the image associated with this question
Answer: tan (60) = √3
Explanation: The given triangle is right-angled triangle, therefore, we will use Pythagorean theorem to get the length of the third side. third side = sqrt [(hypotenuse)^2 + (second side)^2] third side = 21√3 units
Since the given triangle is a right-angled triangle, we can apply the special trigonometric identities. Therefore: tan θ = opposite / adjacent In the given triangle: θ = 60° The opposite side = 21√3 The adjacent side = 21
Substitute in the above equation to get tan 60 as follows: tan (60) = (21√3) / (21) = √3