A parcel of land is in the shape of a pentagon. The vertices are labeled A through E. A surveyor gives you the following information regarding the parcel. Side Bearing Distance A to B Due West 420 feet B to C N 20° W 335 feet C to D N 28° E 475 feet D to E S 73° E 510 feet E to A No information No information Do the following: • Draw a diagram for the parcel of land. • Formulate a strategy for determining the area of the parcel using trigonometry. • Determine the area of the parcel, clearly showing all steps and calculations. Give area in units of square feet (correct to the nearest square foot) and in units of acres (correct to 3 decimal places).
A parcel of land is in the shape of a pentagon. The vertices are labeled A through E. A surveyor gives you the following information regarding the parcel. Side Bearing Distance A to B Due West 420 feet B to C N 20° W 335 feet C to D N 28° E 475 feet D to E S 73° E 510 feet E to A No information No information Do the following: • Draw a diagram for the parcel of land. • Formulate a strategy for determining the area of the parcel using trigonometry. • Determine the area of the parcel, clearly showing all steps and calculations. Give area in units of square feet (correct to the nearest square foot) and in units of acres (correct to 3 decimal places).
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
A parcel of land is in the shape of a pentagon. The vertices are labeled A through E. A surveyor gives
you the following information regarding the parcel.
Side Bearing Distance
A to B Due West 420 feet
B to C N 20° W 335 feet
C to D N 28° E 475 feet
D to E S 73° E 510 feet
E to A No information No information
Do the following:
• Draw a diagram for the parcel of land.
• Formulate a strategy for determining the area of the parcel using trigonometry.
• Determine the area of the parcel, clearly showing all steps and calculations. Give area in units of
square feet (correct to the nearest square foot) and in units of acres (correct to 3 decimal places).
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