A person in an helicopter flying at a height of 700 meters, observes two objects lying opposite to each other on either side of the bank of a river. The angles of depression of the objects are 35° and 50°. Find the width of the river to the nearest foot. A. 412 ft
B 1000 ft
C 1342 ft
D 1587 ft

Let C be the position of a person in a helicopter. A,B be two objects lying opposite to each other on either bank of a river.

Let AD=x,BD=y

In ΔACD,

⇒tan30

o

=

AD

CD

⇒

3

1

=

x

700

⇒x=130

3

⇒x=130(1.732)=1212.4

∴ the width of the river =x+y

=1212.4+130

=1342.4m

Step-by-step explanation:

10

step-by-step explanation:

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: