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bogdanovich [222]
3 years ago
8

A person whose eye level is 20 feet above the ground is looking at a building. The angle of elevation to the top of the building

is 31º and the angle of depression to the bottom of the building is 24∘. What is the height (in feet) of the building? Round your answer to the nearest foot.
Mathematics
1 answer:
Inessa [10]3 years ago
8 0
Distance of the person from the building (x)

tan 24 = 20/x => x = 20/tan 24 = 44.92 ft

The height of the building above the height of the person and the distance of the person from the building forms two legs of right angled triangle.

Therefore, if h is the height of the building, then;
tan 31 = (h-20)/44.92
h-20 = 44.92 tan 31
h = (44.92 tan 31) + 20 = 26.99 + 20 = 46.99 ft
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Riley is planning to plant a lawn in his yard. He will need 9 pounds of grass seed. He wants to mix Bermuda seed that costs $4.8
tankabanditka [31]

Given that total number of pounds of grass seed needed = 9

Let number of pounds of Bermuda seeds used = x

Let number of pounds of Fescue seeds used = y

Then sum of both gives equation:

x+y=9

or y=9-x...(i)


Given that cost of 1 pound of Bermuda seed = $4.80

Then cost of x pound of Bermuda seed = $4.80x


Given that cost of 1 pound of Fescue seed = $3.50

Then cost of y pound of Fescue seed = $3.50y

total cost will be 4.80x+3.50y



Given that cost of 1 pound of mix seed = $4.02

Then cost of 9 pound of mix seed = $4.02*9


combining all three parts, we get equation:

4.80x+3.50y=4.02*9

4.80x+3.50y=36.18...(ii)

plug (i) into (ii)

4.80x+3.50y=36.18

4.80x+3.50(9-x)=36.18

4.80x+31.5-3.50x=36.18

4.80x-3.50x=36.18-31.5

1.3x=4.68

x=3.6

Now plug x=3.6 into (i)

y=9-x=9-3.6=5.4


Hence final answer is given by:

Let number of pounds of Bermuda seeds he should buy = 3.6 pounds

Let number of pounds of Fescue seeds he should buy = 5.4 pounds


5 0
3 years ago
Write 2-3 sentences describing your biggest takeaways from this activity. Use as much academic language (e.g., transversal, para
Paul [167]

Answer:

Evaluate the following exponential function when x = 1.

f (x) = 9 (12)Squared X + 12

F(1) =Evaluate the following exponential function when x = 1.

f (x) = 9 (12)Squared X + 12

F(1) =Evaluate the following exponential function when x = 1.

f (x) = 9 (12)Squared X + 12

F(1) =

Step-by-step explanation:Evaluate the following exponential function when x = 1.

f (x) = 9 (12)Squared X + 12 gg

F(1) = 50

6 0
2 years ago
For the triangle shown below, complete the following table.
Virty [35]

Answer:

See below ~

Step-by-step explanation:

<u>Sin A</u> : opposing side of ∠A / hypotenuse

  • <u>3/5</u>

<u>Sin C</u> : opposing side of ∠C / hypotenuse

  • <u>4/5</u>

<u></u>

<u>Cos A</u> : adjacent side of ∠A / hypotenuse

  • <u>4/5</u>

<u></u>

<u>Cos C</u> : adjacent side of ∠C / hypotenuse

  • <u>3/5</u>
6 0
2 years ago
-12b +6b -4b was the answer yo
Helen [10]

- 10b

when we add -12 and 6 we get -6

after that we subtract -6 from -4 to get -10

3 0
3 years ago
Read 2 more answers
(10pts) Ivan bought three games and paid $65 for all three. The second game was 50% more expensive than the first one. The price
lutik1710 [3]

We are required to find the price of the first game

The price of the first game is $20

Given:

let

price of the first game = x

price of the second game = x + 50% of x

= x + 0.5x

= 1.5x

Price of the third game = 50% of 1.5x

= 0.5 × 1.5x

= 0.75x

Total cost of game = $65

<em>Total cost of game = price of the first game + price of the second game + Price of the third game</em>

65 = x + 1.5x + 0.75x

65 = 3.25x

divide both sides by 3.25

x = 65 ÷ 3.25

x = 20

Therefore, the price of the first game is $20

Read more:

brainly.com/question/291220

3 0
3 years ago
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