Question

Three houses are mapped on a coordinate grid Josh‘s house is located on which street at (7,-9). Sarah’s house is located on green street at (8,4). Emma‘s house is located on the corner of Rich St., Ang Green Street at (-9,8) what is the measurement in the angle in degrees where reg Street and green street intersect

Answer 1

The measurement in the angle in degrees where reg Street and green street intersect is 3.638°

What is the coordinate about?

Let us look at the task to find the angle between vectors ES and EJ (Note that the first letters are said to be used  to name the vectors).

ES =   ( -9, -9) - (-9, 8) = (-18, -17)

EJ =   (7,-9) - - (-9, 8)  = (16, 17 )

cos α = $\frac{ES * EJ} {EJ * ES}$

=  $\frac{-18 (16)+ (-17) * 17)}{(-17 * 9.005)}$

= - 557 / -153.085

= 3.638°

Therefore, The measurement in the angle in degrees where reg Street and green street intersect is 3.638°

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