A 43-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth. 21.09 feet 24.20 feet 37.47 feet 49.34 feet

37.47 feets

Step-by-step explanation:

Using trigonometry:

The distance of wall from base of ladder is (x) :

Cosine θ = adjacent / hypotenus

Length of ladder = hypotenus ; x = adjacent

Cos 29.37 = x / 43

x = 43 * cos 29.37

x = 43 * 0.8714707

x = 37.473241

x = 37.47

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.