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olga nikolaevna [1]
2 years ago
6

At a certain time of day, the angle of elevation is 40°. To the nearest foot, find the height of a tree whose shadow is 31 feet

long.
Mathematics
1 answer:
elena-s [515]2 years ago
7 0

Answer: Height of tree = 26 ft

Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.

Base = AC = 31

Perpendicular = CB = ?

Hypotenuse = AB

Using trigonometric equation

tan 40 (deg) = CB / AC

CB = Tan 40 x AC

CB = 0.83909 x 31

CB = 26.011

Thus the height of the tree = 26 ft

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A fish is 4 feet under water and swims up 1 foot towards the surface. What is its position
vampirchik [111]

Answer: \Large\boxed{-3~\text{feet under water}}

Step-by-step explanation:

<u>Given information</u>

\text{Fish is 4 feet under water (-4)}

\text{Swims up by 1 foot (+1)}

<u>Derived expression from the given information</u>

\text{Position = Initial + Change}

<u>Substitute values into the given expression</u>

\text{Position = }(-4)+(1)

<u>Simplify the position</u>

\text{Position = }-3

<u>Therefore, the current position of the fish is:</u>

\Large\boxed{-3~\text{feet under water}}

Hope this helps!! :)

Please let me know if you have any questions

7 0
1 year ago
Chu-Li has $100 in her piggy bank. How much will she have in her bank 40 weeks from now if she puts $1 in the bank next week, $2
BigorU [14]

Answer:

  $920

Step-by-step explanation:

The amounts added are the arithmetic sequence ...

  1, 2, 3, ... 40

The average term of this sequence is (1 +40)/2 = 20.5. The sum of the terms of this sequence is the number of terms (40) multiplied by the average term (20.5). That product is ...

  40·20.5 = 820

Chu-Li will have added $820 to her bank in 40 weeks, so the total there is ...

  $100 +820 = $920 . . . amount Chu-Li will have 40 weeks from now

6 0
3 years ago
How to do this problem
zhuklara [117]

Answer:

What is the problem?

Step-by-step explanation:

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3 0
2 years ago
TIME REMAINING
marta [7]

the answer of this question is (-2,2)

8 0
3 years ago
Write the equation of the circle centered at ( 4 , − 5 ) with radius 18.
Free_Kalibri [48]

Answer:

(x-4)^2 + (y+5)^2 = 324

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-4)^2 + (y+5)^2 = 18^2

<u>(x-4)^2 + (y+5)^2 = 324</u>

3 0
3 years ago
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