Tony is standing at sea level. From his location, the angle of elevation of the top of Blue Mountain is 23°. Staying at sea level, he walks 220 yards toward the mountain. The angle of elevation of the top is now 27°. Find the height of Blue Mountain. Round intermediate results to 3 decimal places and the final answer to 1 decimal place.

Answers

Answer 1

Answer:

Answer:

559.2 yards.

Step-by-step explanation:

Let the height of the mountain be x yards and the distance from the second location to the base of the mountain be y yards.

Then we have the equations:

tan 27 = x/y

tan 23 = x / (220 + y)

From the first equation y = x/ tan27 so substituting in the second one we have:

tan 23 = x / (220 + x / tan 27)

Cross multiply:

x = 220 tan23 + x tan 23 / tan 27

x = 93.384 + 0.833 x

x - 0.833x = 93.384

x = 93.384 / 0.167

x = 559.2 yards to 1 dec place (answer).

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Athena priced each of her art pieces at the same price and displayed them for sale in two different art shows. She made $495.80 from the first art show and $371.85 from the second show. If Athena sold 7 pieces of art, what price did each piece sell for?

Answers

In the question "Athena priced each of her art pieces at the same price and displayed them for sale in two different art shows. She made $495.80 from the first art show and $371.85 from the second show. If Athena sold 7 pieces of art, what price did each piece sell for?" To get the price that each piece of art sells for: Total sales made from selling 7 pieces of art = $495.80 + $371.85 = $867.65 The price for each piece of art = $867.65 / 7 = $123.95 Thus each piece of art sells for $123.95 and hence the correct answer.

Answer:

$123.95

Step-by-step explanation:

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Answers

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eric has been donating books he no longer needs to his local library. after 3 months of donating, he had 157 books left in his room. after 8 months of donating, he had 102 books left in his room. how many books per month did eric donate on average between monhs 3 and 8?

Answers

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-----------------------
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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the number of adults. The number of female students was half the number of male students. If the total number of people who went on the trip is 82, find the numbers of male students and female students.

Answers

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Answer:

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Step-by-step explanation:

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