There are 20%, percent more goblins than wizards in magic club. there are 220 goblins and wizards altogether in magic club. how many goblins are in the magic club?

Number of goblins = 120

Step-by-step explanation:

Let number of goblins in the magic club be x

Number of goblins and wizards all together in the magic club are given to be 220

⇒ Number of wizards in the magic club be 220 - x

Now, according to the condition given in the problem

⇒ Number of goblins = Number of wizards + 20% of number of wizards

⇒ x = 220 - x + 20% of (220 - x)

⇒ x = 220 - x + 0.2·(220 - x)

⇒ 2·x = 220 + 44 - 0.2·x

⇒ 2.2·x = 264

⇒ x = 120

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2