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Naily [24]
3 years ago
8

A ladder is leaning against the house. The base of the ladder is 9 feet from the base of the house. The ladder is 20 feet long.

How high does the ladder reach on the house
Mathematics
2 answers:
Gre4nikov [31]3 years ago
8 0
The answer is 17.86057
zvonat [6]3 years ago
4 0

Answer:

17.86057

Step-by-step explanation:

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a pattern has 14 triangles to every 18 yellow triangles. what is the ratio of yellow triangles to blue triangles?
erma4kov [3.2K]
9:7
Ratios are always simplified so by dividing both 18 and 14 by 2 you get 9 and seven. Because yellow triangles is stated first the 9 is put before the 7 blue triangles.
5 0
3 years ago
Read 2 more answers
What is 113.26087 converted in to a fraction.
adelina 88 [10]

Answer:

113.26087 as a fraction equals 11326087/100000

Step-by-step explanation:

To write 113.26087 as a fraction you have to write 113.26087 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

113.26087 = 113.26087/1 = 1132.6087/10 = 11326.087/100 = 113260.87/1000 = 1132608.7/10000 = 11326087/100000

6 0
3 years ago
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Inessa [10]

Answer:

y=-1

Step-by-step explanation:

it is a straight line graph with no gradient therefore no X value. It crosses the y axis at -1

8 0
3 years ago
Let p=x^2-2 which equation is equivalent to (x^2-2)^2+18=9x^2-18 in terms of p
Bad White [126]

Answer:

The equivalent equation is p^2 + 18 = 9p

Step-by-step explanation:

p is given by the following relation:

p = x^2 - 2

And we are given the following equation:

(x^2 - 2)^2 + 18 = 9x^2 - 18

On the right side, we can simplify. So

(x^2 - 2)^2 + 18 = 9(x^2 - 2)

Replacing x^2 - 2 by p, the equation is:

p^2 + 18 = 9p

6 0
3 years ago
From a point 100 m from a building the angles of elevation of the top and bottom of a flagpole atop a building are 54.5 degrees
AnnZ [28]

Answer:60ft

Step-by-step explanation:The height of the flagpole is approximately  

60

feet.

Explanation:

Always try to draw a diagram.

enter image source here

We know that there is a right angle between the ground and the building. Therefore, we can use the 3 basic trig ratios instead of the sine or cosine law to solve this problem.

Since the angle in the corner of the larger right triangle measures  

42

˚

, the top angle in this triangle measures  

180

˚

−

90

˚

−

42

˚

=

48

˚

.

By basic trig ratios, we can find the height of the building with the flag pole on top, call it  

H

.

tan

42

˚

1

=

H

500

H

=

500

tan

42

˚

I would keep it in exact form until the last step.

We now devise an expression for the height of the building (without the flag pole). Call it  

a

tan

38

˚

1

=

a

500

a

=

500

tan

38

˚

We can now state that

h

=

H

−

a

h

=

500

tan

42

˚

−

500

tan

38

˚

h

≈

59.559

≈

60

feet

Hopefully this helps!

Answer link

EET-AP

Apr 10, 2017

The flagpole is  

60

f

t

in height to the nearest foot.

Explanation:

1) The flagpole is on top of a building.

2)Angles of elevation both measured from point  

500

f

t

from building

3) Angle of elevation to the top of building is  

38

d

e

g

4) Angle of elevation to the top of flagpole is  

42

d

e

g

The information above will provide us with two right angle triangles, one smaller one inside a larger one.

Both will have a base of  

500

f

t

.

The smaller triangle will have a base angle  

β

of  

38

deg opposite the  

90

deg, and the larger triangle will have a base angle  

β

of  

42

deg.

From this information we can find the heights of the building and the building + pole using the definition of the tangent of the two base angles  

β

:

tan

(

β

)

=

o

p

p

a

d

j

where the  

o

p

p

is the height and the  

a

d

j

is the  

500

f

t

o

p

p

(

b

u

i

l

d

)

=

tan

(

38

)

⋅

(

500

f

t

)

=

390.6

f

t

=

height of building

o

p

p

(

f

l

a

g

)

=

tan

(

42

)

⋅

(

500

f

t

)

=

450.2

f

t

=

height of building + pole

Then to the nearest foot the height of the flagpole is:

450.2

f

t

−

390.6

f

t

=

60

f

t

4 0
3 years ago
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