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vodomira [7]
3 years ago
14

A tree casts a shadow that is 20 feet long. The angle of elevation from the end of the shadow to the top of the tree is 60 degre

es. Determine the height of the tree, to the nearest foot
Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0

10 feet

20×cos60=20÷2=10

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(15 points)
Maslowich

Answer:

Each of the legs of isosceles right triangle is 5\sqrt{3}

Step-by-step explanation:

Watch the attached figure for the isosceles right angled triangle

Looking at the figure we see that AB=5√6 and BC=CA

According to the Pythagorean theorem the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle.

1) Applying the Pythagorean theorem to the isosceles right triangle, we have

BC^{2} + CA^{2} = AB^{2}

2) Let BC=a and CA=a as they both are equal

So,

a^{2} + a^{2} = (5\sqrt{6} )^{2}

=> 2a^{2} = (5\sqrt{6} )(5\sqrt{6} )

=> 2a^{2} = 5*5*\sqrt{6}*\sqrt{6}

=> 2a^{2} = 25*6 (since √6*√6 = (√6)²= 6)

=> 2a^{2} = 150

3) Dividing both sides by 2, we get

\frac{2a^{2} }{2} =\frac{150}{2}

4) Cancelling out the 2's on the left, we get

a^{2} = 75

5) Taking the square root on both sides, we have

\sqrt{a^{2}} = \sqrt{75}

=> a = 5\sqrt{3}

So,

Each of the legs of isosceles right triangle is 5\sqrt{3}



6 0
3 years ago
Write a linear function whose slope is -4 and y-intercept is -5. Explain what these values mean in the equation
blagie [28]
The answer is  y=4x-5. hope that helped
6 0
3 years ago
- Approximately 6.5 x 10^5 gallons of water flow over a waterfall each second. There are 8.6 x 10^4 seconds in 1 day. » Select t
Brilliant_brown [7]

Answer:

The approximate number of gallons of water that flow over the waterfall in 1 day is:

  • <u>A. 5.59 x 10^10</u>

Step-by-step explanation:

To obtain the answer to the question, you must multiply the number gallons of water flow over a waterfall each second (6.5 x 10^5 gal/s) by the number of seconds in a day (8.6 x 10^4 s), as I show you below:

  • Gallons of water that flow over the waterfall in 1 day = Number of gallons * Number of seconds in a day.
  • Gallons of water that flow over the waterfall in 1 day = 6.5 x 10^5 gal/<u>s</u> * 8.6 x 10^4 <u>s</u>

Now, we must cancel the seconds, then:

  • <u>Gallons of water that flow over the waterfall in 1 day = 5.59 x 10^10 gallons</u>

How you can see, <em>once you have multiplied these two values, the answer is the same to the option A</em>.

7 0
3 years ago
The high temperature, in F, for the past 4 days was 45, 38, 46, and 35. Carlos knows that the mean high temperature for the past
Natali [406]

The temperature is 46°F

Step-by-step explanation:

Given the temperatures in F for the past four days as: 45, 38, 46, 35

The mean for the five days is 42 °F

Find the total temperatures with the mean of 42 in 5 days. Perform multiplication

42*5= 210 ° F

Sum of temperature in 4 days is 45+38+46+35=164 °F

The temperatures for the first day will be : 210°F-164°F=46°F

Learn More

Mean ; brainly.com/question/256619

Temperature, mean, equation

#LearnwithBrainly

7 0
4 years ago
2. Write the expression 23/5 as a radical.<br><br> Need help!!!!!!!!!!!!
amm1812

Answer:

OPTION D

2^³/5

= 5√2^3

Option D is legit.

4 0
3 years ago
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