A tree is casting a shadow that is 6.2 meters long. The distance from the end of the shadow to the top of the tree is 7.5 meters

Question

2 years ago

12

. How tall is the tree? Round to the nearest tenth if necessary.

2 answers:

dmitriy555 [2] · Answer 1 · 2023-04-21T05:12:29+03:00

4 0

Answer:

13.7

Step-by-step explanation:

I did a test on this i got it correct

katrin [286] · Answer 2 · 2023-04-21T07:00:25+03:00

Answer:

4. metres (approx)

Step-by-step explanation:

The given situation can be illustrated as a picture which I have attached to the answer for better understanding.

As you can notice, the situation can be modeled as a right triangle.

Use the Pythagorean theorem to find the value of leg h, as follow:

$h=\sqrt[]{(7.5m)^{2} - (6.2m)^{2}} \\h=\sqrt{56.25m^{2} - 38.44m^{2}}\\h=\sqrt{17.81m^{2} } \\h= 4.2 m$

Rounding of the answer : 4 meters

Hence, the height of the tree is approximately 4m.

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