MATHEMATICS HIGH SCHOOL

The world's tallest unsupported flagpole is believed to be a 282-ft-tall steel pole located in Surrey, British Columbia. During the course of a year, the longest shadow cast by the pole is 359 ft. long. Find the angle of depression formed.

Answers

Answer 1

Answer:

Answer:

As shown in the attached figure we have

$tan(\alpha )=(282)/(359)\n\n\therefore \alpha =tan^(-1)((282)/(359))\n\alpha =37.95^(o)$

Now we have $\alpha =\lambda$

Thus angle of depression is $37.95^(0)$

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Which unit would you use to measure the amount of water in a swimming pool?pints
quarts
gallons
cups

Answers

Gallons, it's the largest unit that you're given and swimming pools obviously have a lot of water in them

https://app31.studyisland.com/userFiles/nc6line1.gif Which of the following are alternate exterior angles? A. ∠B and ∠G B. ∠E and ∠H C. ∠A and ∠E

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B. ∠E and ∠H are alternate exterior angles

The set of integers is closed under subtraction.
True
False

Answers

The answer of the integers is closed under subtraction is False

Answer:

false

Step-by-step explanation:

Paul, Colin and Brian are waiters. One night the restaurant earns tips totalling £77.40.
They share the tips in the ratio 1:3:5.
How much more does Brian get over Paul?

Answers

You have to add the ratio, which is 1:3:5 and 1+3+5= 9. Then you must do £77.40 divided by 9. This gives you £8.6. So 1 part is £8.60, also how much Paul got. To find out Brian, you must do 5 multiplied by £8.60 which gives you £43. Then, to get the difference, you must do £43 take away £8.60, giving you £34.40. Your final answer will be £34.40. I hope this helped!

x+7=0 x-4=0 (x+7)(x-4)=0 how would you compare the three questions? what value(s) of x would make each equation true?

Answers

$x+7=0 \n \boxed{x=-7} \n \n x-4=0 \n \boxed{x=4} \n \n (x+7)(x-4)=0$
$x+7=0$ or $x-4=0$
$x=-7$ or $x=4$

S= {-7 ; 4}

$(x+7)(x-4)=0 \Leftrightarrow x+7=0 \vee x-4=0\n x=-7 \vee x=4$

Carl drove to his grandmother’s house. He drove for 6 hours and averaged a speed of 55 miles per hour. At the end of 6 hours he still had 90 miles to go until he reached his grandmother’s house. What was the distance of his trip?

Answers

Answer:

420 miles

Step-by-step explanation:

Distance traveled per hour = 55 miles

Distance traveled in 6 hours = 55 * 6 = 330 miles

Distance of the trip = 330 + 90 = 420 miles

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