# Tutor profile: Amy G.

## Questions

### Subject: Linear Algebra

What is the sum of (2,4) and (1,5)?

(2,4) and (1,5) are called vectors and are in the form (x,y). In order to add them together, we add the x-coordinates together and the y-coordinates together. i.e. (2+1, 4+5) = (3,9)

### Subject: Trigonometry

A nursery plants a new tree and attaches a guy wire to help support the tree while its roots take hold. An eight-foot wire is attached to the tree and to a stake in the ground. From the stake in the ground the angle of elevation of the connection with the tree is 42º. Find to the nearest tenth of a foot, the height of the connection point on the tree.

A "guy" wire is a support wire used to hold a newly planted tree in place, preventing it from bending or up-rooting during high winds. • The "angle of elevation" is from the ground up. • It is assumed that the tree is vertical, making it perpendicular with the ground. • This problem deals with "opposite" and "hypotenuse" making it a sine problem. sin(42)=x÷8 x=8 x sin(42) x=5.4'

### Subject: Basic Math

Express 71/1000 as a decimal.

This question is asking you to divide 71 by 1000 (71÷1000). All we need to do to achieve is move the decimal place three 'spaces' to the left. The decimal place is after the 1 in the number 71. Moving the decimal 1 place to the left would make it 7.1, another place 0.71 and a third 0.071. The answer is 0.071

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