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Directions: Carry the full calculator value until rounding the final answer.
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A triangular billboard is built for the front of a bottle recycling center. The lengths of two sides of the billboard measure 8 feet and 11 feet, and include an angle of 78º. Find the surface area of the billboard to the nearest tenth of a square foot.
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2. |
Given parallelogram MATH, as shown with diagonal from M to T, find the area of the parallelogram to the nearest square centimeter. |
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3. |
In a rectangular dog pen, a temporary fence is constructed from D to Y to enclose an area for a new puppy to play, away from the more energetic older dogs. OY = 12 feet, DY = 31 feet, and m∠OYD = 65º. What is the area of the triangular puppy pen, to the nearest tenth of a square foot ? |
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4. |
Two sides of a triangular koi pond measure 16 feet and 20 feet, and include an angle of 52º. Find the area, to the nearest tenth of a square foot, of a nylon cover that covers the surface of the pond exactly. |
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5. |
In ΔABC, AB = 14 meters, AC = 20 meters, and the area of the triangle is 82 square meters. Find the m∠A to the nearest degree.
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6. |
A triangular farm field has two sides measuring 330 yards and 410 yards with an included angle of 75º. The farmer wishes to use a fertilizer costing $8.50 per 150 square yards, or any part of a 150 square yards. What will it cost to apply this fertilizer to this field?
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7. |
In isosceles ΔABC, AB = AC = 24 inches and m∠A = 32º. Find the area of the isosceles triangle to the nearest tenth of a square inch. |
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8. |
The area of a triangle is 280 square feet. The triangle has two sides of 28 feet and 24 feet with an included obtuse angle. Find the measure of the obtuse angle, to the nearest degree. |
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9. |
In a rhombus, each side measures 18 centimeters. One angle of the rhombus measures 128 degrees. Find the area of the rhombus to the nearest square centimeter.
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10. |
An isosceles triangular banner is displayed at the entrance to a Mathematics Conference. The equal sides of the banner measure 18 feet and the area of the banner is 68 square feet. Find the measures of the three angles of the triangle to the nearest tenth of a degree. |
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