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Worksheet: Finding Angles Using the Inverse of the Trigonometric Ratios

Q1:

Find the measure of giving the answer to the nearest second.

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Q2:

Find the value of giving the answer to the nearest second.

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Q3:

For the given figure, find the measure of angle , in degrees, to two decimal places.

Q4:

For the given figure, find angle , in degrees, to two decimal places.

Q5:

Find the measure of angle , in degrees, to two decimal places.

Q6:

Find the measure of giving the answer to the nearest second.

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Q7:

Find the measure of giving the answer to the nearest second.

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Q8:

In the given figure, find the measure of angle , in degrees, to two decimal places.

Q9:

Find the measure of given is a rectangle where and . Give the answer to the nearest second.

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Q10:

Find giving the answer to the nearest second.

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Q11:

Find giving the answer to the nearest second.

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Q12:

For the given figure, find the measure of , in degrees, to two decimal places.

Q13:

A car is going down ramp which is 10 metres high and 71 metres long. Find the angle between the ramp and the horizontal giving the answer to the nearest second.

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Q14:

A palm tree snaps due to bad winds. The vertical trunk is 5 metres tall and the inclined part is 6 metres. Find the measure of the angle between the inclined part and the ground giving the answer to the nearest second.

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Q15:

A palm tree 10.6 metres tall is observed from a point 12 metres away on the same horizontal plane as the base of the tree. Find the angle of elevation to the top of the palm tree giving the answer to the nearest minute.

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