4 years ago

Find the missing angles

1 answer:

3 0

M=123 degrees g=81 degrees f=99 degrees k=57 degrees q=81 degrees s=42 degrees h=123 degrees p=99 degrees r=57 degrees v=123 degrees u=57 degrees

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As the figure shows Elton runs 500 m to point b first then he turns 100 degrees and runs another 350 m to point c how far is the

Alex777 [14]

Answer:

658.24 m

Step-by-step explanation:

Let A be the point from where Elton started. Connect points A and C, you get triangle ABC with AB=500 m, BC=350 m and m∠B=100°. Use the cosine rule to determine the length of the segment AC:

$AC^2=AB^2+BC^2-2\cdot AB\cdot BC\cdot \cos \angle B,\\ \\AC^2=500^2+350^2-2\cdot 500\cdot 350\cdot \cos 100^{\circ},\\ \\AC^2=250000+122500-350000\cdot (-0.174),\\ \\AC^2\approx 433276.8622,\\ \\ AC\approx 658.24\ m.$