If the base of the ladder is 15 feet from the house and reaches 20 feet up the side of the house, what is the length of the ladder? in feet and if a ladder is 10 feet long and the base is 6 feet from the side of the house, how far up the side of the house will the ladder reach?

Part 1: 25 feet long

Part 2: 8 feet high

Step-by-step explanation:

A^2 +B^2 =C^2

C is the hypotenuse which you are finding for part 1.

You are finding B for part 2.

Part 1:

15^2 + 20^2 = C^2

225+400=C^2

625=C^2

Sqrt(625)= C

25=C

Answer for Part 1 is 25 feet long.

Part 2:

6^2 + B^2 = 10^2

36 + B^2 = 100

Subtract 36 from both sides.

B^2 = 64

B= sqrt(64)

B= 8

Answer for Part 2: 8 feet high

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.