Asked by Marieke
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.
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.
Answers
Answered by
Reiny
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
....
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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