A forest ranger spots a fire from a 21-foot tower. The angle of depression from the tower to the fire is 12 degrees . To the nearest foot, how far is the fire from the base of the tower?

99

Step-by-step explanation:

The angle of depression looking from the tower is the same as the angle of elevation looking at the top of the tower from the spot of the fire.  So, tan (12 degrees) = 21 / distance between the tower and fire.  Thus, the distance = 21 / tan(12).  

tan (12) = 0.2126

Distance = 21 / 0.2126 = 98.78

The question asks about the distance from the base to the fire (to the nearest foot.)  Thus, it is 99 feet.  

3,750 deer

step-by-step explanation:

1,500 is 15 times larger than 100

lets make 250 15 times larger.

3750 deer

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%