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Gnesinka [82]
2 years ago
11

A 28ft ladder leans against a wall so that the base of the ladder is 5ft away from the base of the wall. How far up the wall doe

s the ladder reach?
Round to the nearest tenth.
Mathematics
1 answer:
valentinak56 [21]2 years ago
4 0

Answer:

the top of the ladder is 27.5ft above the ground.

Step-by-step explanation:

The ladder makes an angle, θ with the ground thus forming a right angle triangle with the wall of the house.

The length of the ladder represents the hypotenuse of the right angle triangle.

The ground distance from the base of the wall to the foot of the ladder represents the adjacent side of the right angle triangle.

Therefore, to determine how high up is the top of the ladder on the wall, x, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

28² = x² + 5²

784 = x² + 25

x² = 784 - 25 = 759

x = √759 = 27.5ft

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Mandarinka [93]
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5 0
3 years ago
I need help please. Must be correct. 10 points. Thanks
Anna11 [10]

We have the supplementary angles.

The sum of the measures of the two Supplementary Angles is 180°.

Therefore we have the equation:

13x - 2 + 39 = 180

13x + 37 = 180     <em>subtract 37 from both sides</em>

13x = 143      <em>divide both sides by 13</em>

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<h3>Answer: 11</h3>
5 0
3 years ago
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sattari [20]
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find y-intercept on a graph, make a dot.
then use slope from y-intercept dot, make another dot.
Draw line.
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Hope that helps.
5 0
3 years ago
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Stolb23 [73]
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5 0
3 years ago
1/2 + (103 1/2 + 12)
butalik [34]

Answer:

<h2>116</h2>

Step-by-step explanation:

103 1/2 + 12 = 115 1/2

1/2 + 115 1/2 = 116.

6 0
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