Answer:
✔ 6
✔ 3
✔ 64
✔ 64
Step-by-step explanation:
We have found the value of each variable as a = 17, b = 34, c = 17 and d = 17√3. We can use trigonometric functions to find the answer.
Trigonometric functions are the ratios existing between the sides of a right-angled triangle. These ratios are constant for every right-angled triangle.
The sine of any angle is given by opposite side/hypotenuse.
The cosine of any angle is given by the adjacent side/hypotenuse.
We can find the value of a using sin 45:
sin 45 = 1/√2
⇒ a/17√2 = 1/√2
⇒ a/17 = 1
⇒ a = 17
We can find the value of c using cos 45:
cos 45 = 1/√2
⇒ c/17√2 = 1/√2
⇒ c/17 = 1
⇒ c = 17
We can find the value of b using sin 30:
sin 30 = 1/2
⇒ a/b = 1/2
Substitute the value of a:
17/b = 1/2
⇒ b = 34
Now we can use cos 30 to find the value of d:
cos 30 = √3/2
⇒ d/b = √3/2
Substitute the value of b:
d/34 = √3/2
⇒ d = 34*√3/2
⇒ d = 17√3
Therefore, We have found the value of each variable as a = 17, b = 34, c = 17 and d = 17√3.
Learn more about trigonometric functions here-https://brainly.com/question/1143565
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