On a baseball field, the pitcher’s mound is 60.5 feet from home plate. during practice, a batter hits a ball 214 feet at an angle of 36° to the right of the pitcher’s mound. an outfielder catches the ball and throws it to the pitcher. approximately how far does the outfielder throw the ball?
a. 129.7 ft
b. 168.8 ft
c. 127.7 ft
d. 212.4 ft

B) 168.8

Step-by-step explanation:

Amongst all the options given, B is the correct answer.

!!

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