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jonny [76]
2 years ago
11

from a window 24 feet above the ground, the angle of elevation to the top of another building is 38 degrees. The distance betwee

n the buildings 63 feet. Find the height of the building to the nearest tenth of a foot.

Mathematics
1 answer:
Delvig [45]2 years ago
6 0

Answer:

The  height of the building is 73.2\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

tan(38\°)=\frac{BC}{AB}

we have

AB=63\ ft

substitute and solve for BC

tan(38\°)=\frac{BC}{63}

BC=(63)tan(38\°)=49.2\ ft

Find the height of the building

The  height of the building (h) is equal to

h=BC+24=49.2+24=73.2\ ft

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The Range Rule of Thumb roughly estimates the standard deviation of a data set as​ _______.
maw [93]

Answer:

Option A)

s = \dfrac{\text{Range}}{4}        

Step-by-step explanation:

Range Rule of Thumb

  • The range Rule of thumb states that the range is four times the standard deviation.
  • The standard deviation is a measure of dispersion.

\text{Range = Maximum - Minimum}\\\text{s: Standard Deviation}\\\text{Range rule of Thumb:}\\\text{Range} = 4\times s\\\\s = \dfrac{\text{Maximum - Minimum}}{4}

  • Thus, the correct answer is

s = \dfrac{\text{Range}}{4}

4 0
3 years ago
Chan receives a bonus from his job. He pays 30% in taxes, gives 30% to charity, and uses another 15% to pay off an old debt. He
charle [14.2K]

Answer:

Chan's Bonus amount was $2400.

Step-by-step explanation:

Let the Total amount receive from bonus be 'x'.

Given:

Chan pays 30% in taxes;

So we can say;

Amount paid in taxes will be equal to 30% of total amount receive

framing in equation form we get;

Amount paid in taxes = \frac{30}{100}x=0.3x = 0.3x

Now Given:

Chan pays 30% in Charity;

So we can say;

Amount paid in charity will be equal to 30% of total amount receive.

framing in equation form we get;

Amount paid in Charity = \frac{30}{100}x=0.3x

Also Given:

Chan pays 30% in old debts;

So we can say;

Amount paid in Old debts will be equal  30% of total amount receive

framing in equation form we get;

Amount paid in Old debts = \frac{15}{100}x=0.15x

Money left with him = $600

Now we can say that Total Amount Receive in bonus will be equal to Amount paid in taxes plus Amount paid in charity plus Amount paid in old debts plus amount left.

framing in equation form we get;

x=0.3x+0.3x+0.15x+600\\\\x= 0.75x +600\\\\x-0.75x=600\\\\0.25x=600\\\\x=\frac{600}{0.25} = \$2400

Hence Chan's Bonus amount was $2400.

7 0
3 years ago
You're given two side lengths of 6 centimeters and 9 centimeters. Which measurement can you use for the length of the third side
Zarrin [17]
Does it have to be a different number if not do nine cause then the bottom line soul be 6 and the sides would be 9
7 0
3 years ago
Simple geometry please help<br><br> Find KL. Round to the nearest hundredth.
vivado [14]

Answer:

KL ≈ 1.94

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos48° = \frac{adjacent}{hypotenuse} = \frac{JL}{KL} = \frac{1.3}{KL} ( multiply both sides by KL )

KL × cos48° = 1.3 ( divide both sides by cos48° )

KL = \frac{1.3}{cos48} ≈ 1.94 ( to the nearest hundredth )

6 0
3 years ago
The value of number plus 17 is less than 12
harina [27]

Answer:

x∠-5

Step-by-step explanation:

x+17∠12

x∠12-17

x∠-5

7 0
2 years ago
Read 2 more answers
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