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hodyreva [135]
2 years ago
10

The base of a ladder is placed 2.8m away from a tree that is 4.5m tall. The end of the ladder touches the top of the tree. Calcu

late the length of the ladder.
Mathematics
1 answer:
romanna [79]2 years ago
5 0

The length of the ladder is 5.3 meter if the base of a ladder is placed 2.8 m away from a tree that is 4.5 m tall. The end of the ladder touches the top of the tree.

<h3>What is a right-angle triangle?</h3>

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

As per the picture attached, the triangle is a right angle triangle:

Let's assume the length of the ladder is x meter

From the Pythagoras theorem:

x = √(2.8²+4.5²)

x = √(7.84+20.25)

x = 5.3 m

Thus, the length of the ladder is 5.3 meter if the base of a ladder is placed 2.8 m away from a tree that is 4.5 m tall. The end of the ladder touches the top of the tree.

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ1

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sergij07 [2.7K]

Answer:

1)  (c)∠ G = 34°

2) (a)  x = 33°

3) (d) The perpendicular segments are  JM, KL, PQ AND NR.

Step-by-step explanation:

Here in the given questions:

1)  p II r

⇒ ∠ G  = 34°  (ALTERNATE EXTERIOR ANGLES)

Hence, the measure of  ∠ G = 34°

2) In the given triangle:

The measure of exterior angle is always the sum of interior opposite angles.

⇒ Here, x + 72°  = 105°

or, x = 105° - 72° =   33°   , or x = 33°

3) The given plane in the cube is JKPN

The segments which have J , K , P and N as their one vertex are perpendicular to the given plane.

Hence, the segments are  JM, KL, PQ AND NR.

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