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

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:

Rounding of the answer :  4 meters

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

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answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°