# Math (Trigonometry)

Jasper walks 2 km due east. He then turns and walks 3 km northeast.

a. How far is Jasper from his starting point? Round your answer to 2 decimal places.

b. What is the direction of Jasper's destination in relation to his starting point? Round your answer to the nearest degree.

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1. Did you make a diagram?

I see a triangle with sides 2 and 3 and the contained angle as 135º, let the side opposite that angle be x

I see the cosine law.

x^2 = 2^2 + 3^2 - 2(2)(3)cos 135
= 4 + 9 - 12(-√3/2)
= ....
x = √....

then use the sine law to find the angle at the origin
sin A/3 = sin 135/x
....

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posted by Reiny

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