In how many ways can the letters in the word balloon be arranged? 210 1,260 2,520 5,040

The number of ways in which the word "balloon" can be arranged is 1260

Step-by-step explanation:

The given word is "balloon: The word has 7 letters.

We know that n different things can be arranged in n! ways.

Hence, 7 different things can be arranged in 7! ways.

Now, in the word"balloon" the characters "l" and "o" repeats twice. Hence, these can be arranged themselves in 2! ways. Hence, we have to divide 7! by (2!2!).

Therefore, the number of ways in which the word "balloon" can be arranged is

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