Question

Find value of x in the 45° - 45°-90° triangle. Give

Answer 1

Answer: X = 5.0

Step-by-step explanation:

- since these are right triangles you can use trigonometry to solve this pretty easily

- for this situation, you only have to use sine/sin

• sine/sin is $opposite/hypotenuse$

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- to start you just need to identify which side is which:

• the side that is labeled 10 is the hypotenuse
• in this case, the shared side is the opposite since you're using sin

- so, for this problem the equation is: $10xSin(45) = 7.071067812$

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- so 7.071067812 is the hypotenuse of the smaller triangle so you just do the same thing again

- start with identifying which side is which:

• as said, the side that is shared and 7.071067812 is the hypotenuse
• the side labeled x is the opposite

- so for this part, the equation is: $7.071067812xSin(45) = 5.0$

- so X = 5.0

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hope this helps :)

Answer 2

Answer:

x = 5

Step-by-step explanation:

Check the file for detailed solution.

This involves SOH-CAH-TOA method, always remember that the opposite of the 90 degree mark is always the hypotenuse. Meanwhile, the position of the given angle (theta) is dependent on which side it is placed. It give either an adjacent or opposite side.

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