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lana [24]
3 years ago
13

A bird caught a fish on the waters surface and flew in a straight line diagonal to the water for 100 yards. Then, it dropped the

fish straight down. The fish landed at a spot 50 yards away horizontally from the point where the bird caught it.
Select the correct answers.


The bird flies at an angle of 1. ______ degrees from the water, and its height from the ground when it drops the fish is 2. _____ yards.


Blank 1 choices:
A) 30
B) 60
C) 78.7

Blank 2 choices:
A) 8.6
B) 86.6
C) 111.8


Random answers will be reported!

Mathematics
2 answers:
ozzi3 years ago
4 0

Answer:

1. B

2. B

Step-by-step explanation:

** Attached picture of the situation

The bird caught the fish at point A, flew until B (which is 100 yds away, dropped the fish at C (which is horizontally 50 yards from A).

1.

We want the angle that the bird creates with the water (horizontal). It is angle BAC. With respect to the right triangle, we can say that we know "hypotenuse" and "adjacent" side to angle BAC. cosine relates hypotenuse and adjacent, thus we can write:

Cos(BAC)=\frac{50}{100}\\Cos(BAC)=\frac{1}{2}\\BAC=Cos^{-1}(\frac{1}{2})\\BAC=60

correct answer is B

2.

Here, we want to find the distance (length) of segment BC. With respect to the angle BAC (we found to be 60), we can say BC is "opposite". We know hypotenuse to be 100. So let's use sine, since sine is ratio of opposite to hypotenuse. Thus, we can write:

Sin(BAC)=\frac{BC}{100}\\Sin(60)=\frac{BC}{100}\\BC=Sin(60)*100\\BC=86.6

correct answer is B

julia-pushkina [17]3 years ago
3 0

Answer:

60                   86.6

Step-by-step explanation:

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Roman55 [17]

Hint: the sum of the angles is equal to 180 in a triangle. could you make an equation to use that?

3x+13, 7x+2, and 75 are the three angle values. They will sum up to 180.

Steps:

We set the equation to:

3x+13+7x+2+75=180

We can combine some terms

10x+90=180

Then, we isolate x

10x=90

And we divide by 10

x=9

Great! but we are not done yet. We want the measure of angle A, so we need to plug x back into the equation for angle a

3(9)+13

Multiply

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Add

40

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MatroZZZ [7]
Okay, what’s the rest of the question?
3 0
3 years ago
Richard has enrolled in a 401(k) savings plan. He intends to deposit $250 each month; his employer does not contribute to his ac
astraxan [27]

Answer:

Richard will have $60,000 in his account in 20 years.

Step-by-step explanation:

(1) Multiply $250 x 12

(2) Multiply the answer of $250 x 12 which is 3000 by 20

(3) Final answer would be $60,000

7 0
3 years ago
7 times a number is 8 less than the square of that number. Find the negative solution.
charle [14.2K]

Answer:

  -1

Step-by-step explanation:

The required relation is ...

  7n = n^2 -8

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Solutions are n=8 and n=-1.

The negative solution is -1.

7 0
2 years ago
Old time savings bank pays 4% interest on its savings accounts. if you deposit $1,000 in the bank and leave it there: (do not ro
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A. $40, because you would do 1,000 × 1.04 = $1,040, and then subtract the original $1,000.
b. $81.60, because 1,000 × 1.04² = 1,081.6
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I have used the formula for compound interest presuming you were aware of it, but I will be happy to explain what I did if you want :).
I hope this helps!
3 0
3 years ago
Read 2 more answers
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