Acamper wants to know the width of a river. from point a, he walks downstream 120 feet to point b and sights a canoe across the river. it is determined that = 24°. about how wide is the river?

53 feet   (to the nearest foot).

Step-by-step explanation:

This forms a right angled triangle with the adjacent side to the 24 degrees angle  and  the opposite side = width of the river.

So we have tan 24 = opposite side / adjacent side.

tan 24 = x / 120 where x = the width of the river.

x = 120 tan 24

x =  53.4 feet.

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8