exam Maths Puzzle Numerical Ability

Find the exact value of cos(-420�)

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exam Other Question

A plane traveling against a wind can travel at 500 miles in the same time it can travel 1120 miles with the same wind. If the speed of the plane with no wind is 240 mph, what is the speed of the wind? Triangle ADE ~ triangle ABC

Given: DE = 5, AD = 8, DB = BC
Find: AB
(Hint: Find DB first.)

I need help with the hint. I know that I need to some how set up a proportion