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marshall27 [118]
3 years ago
5

A person standing on top of a 11 11-foot high sand pile wishes to estimate the width of the pile. he visually locates two rocks

on the ground below at the base of the sand pile. the rocks are on opposite sides of the sand pile, and he and the two rocks are in the same vertical plane. if the angles of depression from the top of the sand pile to each of the rocks are 28 ∘ 28∘ and 19 ∘ 19∘, how far apart are the rocks rounded to the nearest foot?

Mathematics
1 answer:
andrezito [222]3 years ago
4 0
Refer to the diagram shown below.

The distance between the two rocks is (a + b).
By definition,
tan(28°) = 11/a
a = 11/tan(28°) = 20.688 ft
Similarly,
b = 11/tan(19°) = 31.9463 ft

The distance between the rocks is
20.688 + 31.9463 = 52.6343 ft

Answer: 53 ft (nearest foot)

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Answer:

b:100'

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Step-by-step explanation:

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3 years ago
A college surveys 300 graduates and finds 98 graduated with honors and 207 had one or both parents graduate from college. Of the
musickatia [10]

Answer:

20.43% probability that a randomly chosen graduate from these 300 graduated with honors given that neither parent graduated from college.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Graduated with honors:

98 students graduated with honors. Of those, 79 had at least one parent graduating from college. So 98 - 79 = 19 did not.

Of 300 students, 207 had one or both parents graduate from college. So 300 - 207 = 93 did not have at least one parent graduating.

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Of the 93 with no graduated parent, 19 earned honors

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3 years ago
Tell whether each question can be written in the form y = mx + b
Inessa [10]
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6 0
3 years ago
For every 140 feet that Kelly rides on her bicycle, the wheels turn 20 times. About how many times do the wheels turn in 5 miles
Mars2501 [29]

Answer: The wheels turn about 3771 times in 5 miles.

Step-by-step explanation:

Given, Kelly rides on her bicycle such that the number of times wheels turn for every 140 feet = 20

Turns for every feet = \dfrac{20}{140}=\dfrac{1}{7} ...(i)

To find : Number of times wheels turn in 5 miles.

Since , 1 mile = 5,280 feet

Then, 5 miles = 5 x (5,280 feet) = 26,400 feet

Now , Number of times the wheels turn in 26,400 feet = 26400 x (Turns for every feet)

26400\times\dfrac{1}{7}=3771.42857143\approx3771   [From (i)

Hence, the wheels turn about 3771 times in 5 miles.

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3 years ago
A shopkeeper has 10m cartons of eggs. There were 12 eggs in each carton. He sold 2 of the carton and use 1 carton to cook for hi
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Given : Shopkeeper had 10m Cartons of Eggs

Given : He sold 2 of the Cartons and used 1 Carton to cook for his Family

⇒ Shopkeeper took 3 Cartons of Eggs form 10m Cartons of Eggs

⇒ The Shopkeeper is left with (10m - 3) Cartons of Eggs

Option (1) is the Answer

6 0
3 years ago
Read 2 more answers
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