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tigry1 [53]
3 years ago
15

A newly planted tree will be secured by wires, each attached to the ground 1.5 meters from the base of the tree. If each wire is

4 meters long, how high up the tree should each wire be attached, to the nearest tenth of a meter?
Mathematics
1 answer:
quester [9]3 years ago
7 0

Answer:

<em>3.7m</em>

Step-by-step explanation:

The set up will form of right angled triangle with;

the length of the wires (the hypotenuse) = 4m

The base of the tree from the wire (adjacent) = 1.5m

The height of the tree(opposite ) = x

According to pythagoras theorem;

<em>hyp² = opp²+adj²</em>

<em>4² = x²+1.5²</em>

<em>16 = x²+2.25</em>

<em>x² = 16 - 2.25</em>

<em>x² = 13.75</em>

<em>x = √13.75</em>

<em>x = 3.708</em>

<em>Hence the tree is 3.7m high (to the nearest tenth)</em>

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