2. A triangular plot of land is enclosed by a fence. Two sides of the fence are9.8 m and 6.6 m long, respectively. The other side forms an angle of withthe 9.8 m side.a) Draw a sketch of the situation.b) Calculate the height of the triangle to the nearest tenth. Compare it tothe given side third side? Explain.
Question
- A triangular plot of land is enclosed by a fence. Two sides of the fence are9.8 m and 6.6 m long, respectively. The other side forms an angle of withthe 9.8 m side.a) Draw a sketch of the situation.b) Calculate the height of the triangle to the nearest tenth. Compare it tothe given side third side? Explain.
Solution
The question seems to be incomplete as the angle between the sides of the triangle is not provided. However, I can guide you on how to solve it once the angle is known.
a) To draw a sketch of the situation, you would draw a triangle and label the sides. One side would be 9.8m, another side would be 6.6m, and the third side would be the one we are trying to find. The angle between the 9.8m side and the unknown side should be marked.
b) To calculate the height of the triangle, you would use the formula for the height of a triangle which is h = a * sin(B), where a is the length of one side (9.8m in this case), B is the angle between the given side and the base.
Once you have the angle, you can plug it into the formula to find the height.
To compare it to the third side, you would simply compare the numerical values. If the height is greater than the length of the third side, then the triangle is obtuse. If the height is less than the length of the third side, then the triangle is acute. If the height is equal to the length of the third side, then the triangle is right.
Please provide the angle to proceed with the calculation.
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