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Please answer it now in two minutes

Please answer it now in two minutes-example-1
User Nrodic
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The correct answer is 4

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Please answer it now in two minutes-example-1
User Juan Carlos Puerto
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4 votes

Answer:

4 miles

Explanation:

Solution:-

- This question pertains to special right angle triangles.

- This requires the use of special angles like ( 30°, 45°, 60° ) for all three trigonometric ratios that give us exact answers in the form of radicals.

- We will make a table of all three trigonometric ratios for the 3 special angles given above as follows:

30° 45° 60°

sin 1/2 1/√2 √3 / 2

cos √3 / 2 1/√2 1/2

tan 1 /√3 1 √3

- Now take a look at the figure and determine the appropriate trigonometric ratio that could be used to determine the distance ( q ). We are given an opposite angle ( θ = 45° ) and hypotenuse of the right angle triangle ( H = 4√2 mi )

- We see that the sine ratio is the most appropriate which can be written as:

sin ( θ ) = q / H = q / 4√2

sin ( 45° ) = q / 4√2

q = 4√2 * sin ( 45° ) ... Use above table for sin ( 45° )

q = 4√2 * [ 1 / √2 ]

q = 4 miles ... Answer

User Avinashbot
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