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MissTica
3 years ago
12

An arborist wants to prune an oak tree that has grown too tall. The arborist takes a 15-foot ladder and places it on a horizonta

l surface on the ground so it leans against the tallest part of the tree trunk. If the bottom part of the ladder makes an angle of 70 degrees with respect to the ground, what is the distance between the ladder and the tree trunk?

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
8 0
See the attached picture to better understand the problem

we know that
in the right triangle ABC
cos 70=adjacent side angle 70/hypotenuse
adjacent side angle 70=BC----> <span>distance between the ladder and the tree trunk
hypotenuse=AC------> 15 ft

cos 70=BC/AC-------> solve for BC
BC=AC*cos 70------> BC=15*cos 70-----> BC=5.13 ft

the answer is
the </span>distance between the ladder and the tree  is 5.13 ft<span>

</span>

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8 0
3 years ago
0<br> x+y- 2x +284 +18120<br> The answer
Ganezh [65]

Answer:

doint know yup

Step-by-step explanation:

8 0
3 years ago
The population of a city was 572,000 in 2010. In the 2000 census the population was 607,000. What was the rate of decrease of th
kramer

Answer:

6%

Step-by-step explanation:

<em>To solve this you need to subtract 607000 by 572000 to see how many people in the population decreased.</em>

607,000- 572,000= 35,000

Then you put 35,000 over 607,000

also you need x over 100

35000/607,000 x/100

Then do cross product property

35,000*100=3,500,000

607,000* x= 607,000x

3,500,000= 607,000x

Then do 3,500,000 divided by 607,000

You get 5.76%

Round to the nearest percent and get 6%

7 0
3 years ago
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elena-14-01-66 [18.8K]

Answer:

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Step-by-step explanation:

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2. 21+4=25º

hope this helps have a great day/night!!! :))

8 0
3 years ago
a total of 775 tickets were sold for the school play. they were either adult or student tickets. there were 75 more student tick
Olegator [25]

a + s = 775

s = a + 75 ; where a = adult tickets and s = student tickets

____________________________________________________________

Solve for s in the first equation. Subtract a from both sides.

s = 775 - a

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(775 - a) = a + 75

Add a to both sides.

775 = 2a + 75

Subtract 75 from both sides.

700 = 2a

Divide both sides by 2.

a = 350

____________________________________________________________

350 adult tickets were sold.

8 0
4 years ago
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