How to do this and what the answer is with detailed steps

16.16 feet wide

Step-by-step explanation:

It breaks down to something very fundamental

Theta = 76 degrees

Base line = adjacent = 15 feet.

Side opposite = ?

Tan(theta) = opposite / adjacent    Substitute into the tangent.

4.011 = opposite / 15                        Multiply both sides by 15

opposite = 4.011 * 15

Opposite = 60.16 feet.

The river is 60.16 feet wide

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