2x + 4y + 2 = 3y + 5
2x + 4y - 3y + 2 - 5 = 0
2x + y - 3 = 0
Use the cross product to find the orthogonal vector, solve the parametric equation to see at which (t) the point + orthogonal vector intersects the plane, the distance is (t) * norm of vector
The height of the building to the nearest tenth of a meter is; 13 m
<h3>How to make use of Cosine Rule?</h3>
The slant line from the top of Trevor's head to the base of the building is gotten from Pythagoras theorem;
15/x = sin 36°
x = 15/sin 36
x = 25.52 m
Angle between that slant line and base of building is;
90 - tan⁻¹(1.5/14) = θ
θ = 83.88°
Remaining angle of the bigger triangle is;
180 - (36 + 83.88) = 60.12°
Thus, if the height of the building is h, then;
h/sin 36 = 25.52/sin 60.12
h = 13 m
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The dots on the scatter plot are all going up
The simple interest accrued is = $750
<h3>Calculation of simple interest</h3>
The principal amount of the loan = $7500
The rate at which the interest is paid is = 2.5%
The time that it will take to pay the interest = 4 years
Using the formula for Simple interest;
SI= P×T×R/100
SI = 7500×4 × 2.5/100
SI= 75000/100
SI=$750
Therefore, the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years is = $750
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