a) You name the four corners O,A,B and C. From O you walk due East a distance of 80m to A and at A you turn due North and walk 60m to B. At B you set off on a bearing of 310° and walk 130m to point C. i. Make a sketch of the plot of land, showing the four corners and the four boundary lines along with all know angles and distances. ii. Calculate the distance from O to B and find the measure of 2OBC. iii. Calculate the distance from O to C. iv. Find the area, to the nearest square metre of the parcel of land your uncle is offering to sell.

a) You name the four corners O,A,B and C. From O you walk due East a distance of 80m to A and at A you turn due North and walk 60m to B. At B you set off on a bearing of 310° and walk 130m to point C. i. Make a sketch of the plot of land, showing the four corners and the four boundary lines along with all know angles and distances. ii. Calculate the distance from O to B and find the measure of 2OBC. iii. Calculate the distance from O to C. iv. Find the area, to the nearest square metre of the parcel of land your uncle is offering to sell.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.1: Properties Of A Parallelogram

Problem 43E: Two streets meet to form an obtuse angle at point B. On that corner, the newly poured foundation for...

See similar textbooks

Similar questions

A compass was used to mark off three congruent segment, AB, BC, and CD. Thus, AD has been trisected at points B and C. If AD=32.7, how long is AB?
Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures. When 1 is slightly greater than 0: a. How does side y compare to side r? b. How does side x compare to side r? c. How does side x compare to side y?
a What is the general name of the point of concurrence for the three perpendicular bisectors of the sides of a triangle? b What is the general name of the point of concurrence for the three medians of a triangle?
A carpenter has placed a square over an angle in such a manner that ABAC and BDCD. In the drawing, what can you conclude about the location of point D?
Use the results from Exercises 36 and 37 to find the exact length of the radius of the inscribed circle for a triangle with sides of lengths a 8, 15 and 17 b 7, 9 and 12
Given circle O with mBC=120, and mAC=130. a Which angle of triangle ABC is smallest? b Which side of triangle ABC is nearest point O?
A tangent ET is constructed to circle Q from external point E. Which angle and which side of triangle QTE are largest? Which angle and which side are smallest?
In circle O, points A, B, and C are on the circle such that mAB=60 and mBC=40. a How are mAOB and mBOC related? b How are AB and BC related?
On a piece of paper, use your compass to construct a triangle that has two sides of the same length. Cut the triangle out of the paper and fold the triangle in half so that the congruent sides coincide one lies over the other. What seems to be true of two angles of that triangle?
Given: Points A and E are tangent points. EB is a diameter. AE=156,CE=140, and ED=60 . Determine angles 1 through 10.