fill in the blank.

the light from a lamp casts a shadow of a man standing 15 feet away from the lamppost. the shadow is 5 feet long. the angle of elevation from the tip of the shadow to the lamp is 50. to the nearest foot, the lamppost is feet tall.

For this specific problem, to the nearest foot, the lamppost is 24 feet tall. I am hoping that this answer has satisfied your query about and it will be able to help you, and if you’d like, feel free to ask another question.

Approximately 24 feet.

Step-by-step explanation:

Let line segment AB represents the length of the lamppost (In which A shows the top), CD shows the height of the man ( C shows his head ) and E represents the tip of the shadow.

Hence, According to the question,

AD = 15 feet, DE = 5 feet and ∠ E = 50

By the below diagram,

Thus, the approximately length of the lamppost = 24 feet.

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi