A 5m ladder reaches 4.2m up a wall. What angle does the ladder make with the wall

57.14°

Step-by-step explanation:

A 5m ladder reaches 4.2m up a wall. What angle does the ladder make with the wall?

We solve the above question using the Trigonometric function of Sine

= sin theta = Opposite/Hypotenuse

Opposite = Length of the wall = 4.2m

Hypotenuse = Length of the ladder = 5m

Theta = Angle formed = x

Hence,

sin x = 4.2m/5m

x = arc sin(4.2m/5m)

x = arc sin(0.84)

x = 57.140119621°

Approximately = 57.14°

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step-by-step explanation:

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.