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Nonamiya [84]
3 years ago
13

Calculate the length of the opposite side of a right triangle with a hypotenuse of 16 inches and angle of 25 formed at the inter

section between the adjacent side and the hypotenuse

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Answer:

6.76 in

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle  formed at the intersection between the adjacent side and the hypotenuse , and the opposite side is x :

Replacing with the values given:  

Sin 25 = x/ 16  

Solving for x  

sin25 (16) =x  

x= 6.76 in

Feel free to ask for more if needed or if you did not understand something.  

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Isaiah walks 3 miles due north, turns and then 5 miles due east. How far is he from his starting point?
Sonbull [250]
Isiah is 5.83 miles away from his starting point.

When you draw the the miles Isaiah walks, you will discover that you are forming a right angle triangle.

To measure the length from the starting point to the ending point. We must used the Pythagorean equation. Where in the square of the hypotenuse is equal to the sum of squares of the other two sides.

a² + b² = c²

a = 3 miles                        3² + 5² = c²
b = 5 miles                        9  + 25 = c²
c = hypotenuse.                    34    = c²
 
We must get the hypotenuse, since 34 is the square of the hypotenuse we must look for its square root.

c² = 34
c = √34
c = 5.83 miles
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Step-by-step explanation:

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Option B

and

Option D.

EXPLANATION

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