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elixir [45]
3 years ago
15

Which describes the rotation that took place?

Mathematics
1 answer:
kaheart [24]3 years ago
3 0
Picture ? We need it to help
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A life guard in a tower 20 ft above sea level spots a struggling surfer at an angle of depression of 15 . How far is the surfer
GalinKa [24]

Answer: 19.31\ ft

Step-by-step explanation:

Given

The tower is at a height of h=20\ ft

the angle of depression is 15^{\circ}

Suppose the surfer is x ft away from the base of the tower

\therefore \text{From the figure, we can write}\\\\\Rightarrow \cos 15^{\circ}=\dfrac{x}{h}\\\\\Rightarrow x=h\cos 15^{\circ}\\\Rightarrow x=20\cos 15^{\circ}\\\Rightarrow x=19.31\ ft

Therefore, the surfer is at a distance of 19.31 ft from the base of the tower.

7 0
2 years ago
Which expression is equivalent to (7-8) (78)?
Gre4nikov [31]

-78

Step-by-step explanation:

(7-8)(78)

(-1)(78)=-78

8 0
2 years ago
What is the reference angle for 120°?
Drupady [299]
Since the angle 240° 240 ° is in the third quadrant, the reference angle formula is Ar=Ac−180°<span> A r = A c </span>- 180 °<span> .</span>
4 0
3 years ago
Read 2 more answers
The camp director , Mrs Marshall, put all 1,265 backpacks on the bus. Each backpack weighed seven pounds. How many pounds did Mr
posledela

Answer: 8855 pounds

Step-by-step explanation: Simply multiply 1265 x 7

6 0
3 years ago
Read 2 more answers
How to slove with systems of equations
juin [17]

Answer:

$3 for Syd and $5 for Mark

Step-by-step explanation:

when Mark worked 8 hours and Syd worked 10 hours they earned $80

when Mark worked 9h Syd worked 5h they earned $65

we can make a equation out of these information

8M + 10S = $80

9M + 5S = $65 we can use the systems of equations by eliminating method

multiply second equation by -2

-2 × (9M + 5S) = $65

-18M - 10S = -$130 now add up the new equation with the first one

8M + 10S - 18M - 10S = $80 - $130 (10S will eliminate -10S)

-10M = -$50

10M = $50

M = $5

we can use hourly rate we found for M (Mark) to find the hourly rate for S (Syd)

9×5 + 5S = $65

45 + 5S = $65

5S = $15

S = $3

8 0
3 years ago
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