Your uncle offers to help you get started in farming by selling you a piece of land. He will finance you over the next ten years on the following terms. You may begin working the land now and pay him the first of 10 equal annual payments after one year. Your uncle will not charge interest however, since it will take 10 years for you to pay for the land, the selling price will be the expected value of the land 10 years from now. Your uncle shows you the four corners and boundary lines for the land. A land valuator informs you that agriculture land in your district has a current value of $175 per square metre and is appreciating at 1.4% each year. You make the following calculations to estimate the area of the land and sale price. 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 3100 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. [4 marks] ii. Calculate the distance from O to B and find the measure of ∠OBC. 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.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Your uncle offers to help you get started in farming by selling you a piece of land. He
will finance you over the next ten years on the following terms. You may begin working
the land now and pay him the first of 10 equal annual payments after one year. Your
uncle will not charge interest however, since it will take 10 years for you to pay for the
land, the selling price will be the expected value of the land 10 years from now.
Your uncle shows you the four corners and boundary lines for the land. A land valuator
informs you that agriculture land in your district has a current value of $175 per square
metre and is appreciating at 1.4% each year. You make the following calculations to
estimate the area of the land and sale price.
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 3100
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. [4 marks]
ii. Calculate the distance from O to B and find the measure of ∠OBC.
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.
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