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zlopas [31]
3 years ago
5

The safety instructions for a 20 foot ladder say the ladder should not be inclined more than 70 degrees with the ground. suppose

a ladder is leaned against a house at this angle. What is the distance of the base of the house to the foot of the ladder?

Mathematics
1 answer:
Romashka [77]3 years ago
4 0

Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet

Step-by-step explanation:

The scenario is shown in the attached photo.

Right angle triangle ABC is formed when the ladder leans against the wall of the house.

AC = the height of the ladder

AB = x feet = distance of the base of the house to the foot of the ladder

BC is the wall of the building.

To determine x, we will apply trigonometric ratio

Cos # = adjacent/hypotenuse

Where

# = 70 degrees

Hypotenuse = 20

Adjacent = x

Cos 70 = x/20

x = 20cos70

x = 20 × 0.3420

x = 6.84 feets

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Find the value of :<br><img src="https://tex.z-dn.net/?f=%20%5Csf%20log_%7B3%20%5Csqrt%7B2%7D%20%7D%28324%29%20" id="TexFormula1
qwelly [4]

Answer:

4

Step-by-step explanation:

Is that a log with the base of   3√(2)  ?

If so....my calculator says the answer is   4

Let's see if we can do it w/ou the calculator:

3 sqrt(2)^x = 324 =  3^4 * 2^2     Now 'LOG' both sides:

x log (3 sqrt 2)  =   log (3^4 *2^2)  =  4 log ( 3 * 2^(2/4)) = 4 log (3 sqrt2)

                       now divide both sides by log (3 sqrt2 )

  x = 4        (If I did the math correctly ! )  

8 0
2 years ago
I need help on this question
vodka [1.7K]

Answer

Arc EF = 52°

Arc HD = 142°

Angle HGF = 128°

Explanation

To solve for the unknown angles, we need to first solve for x

To do that, we need to first note that the sum of angles on a straight line is 180°

So,

Angle HCG + Angle HCD = 180° (Sum of angles on a straight line)

Angle HCG = 2x

Angle HCD = 6x + 28°

Angle HCG + Angle HCD = 180°

2x + 6x + 28° = 180°

8x + 28° = 180°

8x = 180° - 28°

8x = 152°

Divide both sides by 8

(8x/8) = (152°/8)

x = 19°

Angle HCG = 2x = 2 (19°) = 38°

Angle HCD = 6x + 28° = 6(19°) + 28° = 142°

So, we can solve for the rest now

Arc EF = Angle ECF

= 90° - Angle ECD

Angle ECD = Angle HCG = 38° (Vertically opposite angles are equal)

Arc EF = Angle ECF

= 90° - Angle ECD

= 90° - 38°

= 52°

Arc HD = Angle HCD = 142°

Angle HGF = Angle HCG + Angle GCF = 38° + 90° = 128°

Hope this Helps!!!

6 0
1 year ago
What is the value of x km trying to help a friend
mariarad [96]

Answer:

3x +45°=180° (due to straight angle)

or, 3x= 180°-45°

or,3x= 135°

or,X=135°/3

X =45°.ans

3 0
2 years ago
Anybody know this struggling all day with these math questions
Inga [223]

Answer:

its (-1/2,-5/2),(2,5)

Step-by-step explanation:

Substitute 2x2−3 for y into y=3x−1then solve for x.

5 0
3 years ago
14 5 18 24 15 28 34 __
Volgvan
This sequence seems to apply -9, +13, +6 repeatedly.
So after the 34, the -9 has to be applied. The next number would be 25.
5 0
3 years ago
Read 2 more answers
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