Question

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Answer 1

Answer:

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Answer 2

Given :---

• sin@ = cos3@-30°)

Solution :----

Image is given already in Question . see my approach .

we know that,

→ sin@ = cos(90-@)

Putting this formula in given value we get, ( in place of sin@)

→ cos(90-@) = cos(3@-30°)

Comparing now we get,

→ 90-@ = 3@ -30°

→ 3@+@ = 90+30

→ 4@ = 120°

→ @ = 30°

Hence , value of angle ACB or @ is 30°

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Part (2)

Now, we know that, in ∆ ABC we have

→ angle ACB = 30°

→ AB = 200m (Given Height) = Perepndicular

→ AC = length of Rope = ? = Hypotenuse

Now, we know that,

→ sin@ = Perpendicular / Hypotenuse [ Trignometric Ratio ]

Putting values of all we get,

→ sin30° = 200/AC

→ 1/2 = 200/AC

→ AC = 400m ..

Hence, Length of Rope will be 400m ..