A 16 foot ladder leaning against a wall makes a 66-degree angle with the ground. How far up the wall does the laddar reach?

About 15 feet off the ground

The more accurate value is 14.6167273222817 but even this value is not fully exact.

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Work Shown:

Refer to the diagram below.

sin(angle) = opposite/hypotenuse

sin(66) = x/16

16*sin(66) = x

x = 16*sin(66)

x = 14.6167273222817

x = 15

The ladder reaches roughly 15 feet off the ground, when rounding to the nearest whole number.

I'm rounding to the nearest whole number since the other length (16 ft) is a whole number. Round however you need to if your teacher instructs otherwise.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752