Tangent and Probability

A boat is heading towards a lighthouse, whose beacon-light is 113 feet above the water.  The boat’s crew measures the angle of elevation to the beacon, 11°.  What is the ship’s horizontal distance from the lighthouse (and the shore)? 

• 581.3 feet

• 21.96 feet

• 1243 feet

• 0.194 feet

Hakeem leans a ladder against a 16 feet up a wall so that it forms an angle of 72° with the ground. What’s the horizontal distance ←→  between the base of the ladder and the wall?

• 49.2 feet

• 3 feet

• 5.2 feet

• 8 feet

There is a hot-air balloon in the sky. Carrie measures a 47° angle of elevation to a balloon that’s 1304 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground?

• 1216 feet

• 1398.4 feet

• 1304 feet

• 47 feet

Find x

• 90

• 3

• 19.2

• 9

Find x

• 18.5

• 7.8

• 21.6

• 33.4

Find x

• 34.7

• 7

• 49

• 300

Find x

• 16.67

• 6.8

• 37.7

• 0.15

• 9.8

• 12.56

• 8.1

• 17.8

Bag #1 contains 5 red marbles and 2 blue marbles.  Bag #2 contains 4 red marbles and 4 blue marbles.

What's the probability of grabbing a RED marble from the Bag #1?

• 50%

• 180

• 5/7

• 9/15

Bag #1 contains 5 red marbles and 2 blue marbles.  Bag #2 contains 4 red marbles and 4 blue marbles.

What's the probability of grabbing a RED marble from the Bag #1 and then a RED marble from Bag #2?

• 36%

• 50%

• 71%

• 25%

Answer explanation

The probability from the first bag is 5/7, the 2nd bag is 1/2, when you multiply 5/7 times 1/2 you get about 0.36 which is 36%.