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Trigonometry. The word trigonometry means “triangle measurement.” You can use trigonometry to calculate the lengths of sides and the measures of angles in triangles. Trigonometry has been used for centuries in the study of:. surveying. astronomy. geography. physics. engineering.
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Trigonometry The word trigonometry means“triangle measurement.” You can use trigonometry to calculate the lengths of sides and the measures of angles in triangles. Trigonometry has been used for centuries in the study of: surveying astronomy geography physics engineering
Parts of a Right Triangle B hypotenuse opposite A C adjacent
B hypotenuse adjacent C opposite A
B hypotenuse opposite A C adjacent
B hypotenuse adjacent C opposite A
B hyp opp C A adj TOA SOH CAH
B SOH CAH TOA hyp 10 opp 8 A C 6 adj
SOH CAH TOA B hyp 13 5 adj A 12 C opp
Example 1: Determine side b B SOH CAH TOA 55º 8 cm adj b C A opp b= b=
Example 2: Determine side c if A is 31°. B hyp C A 13 cm adj SOH CAH TOA
Example 3:Determine side p if P is 45°. opposite R Q 17 cm SOH CAH TOA P hypotenuse
Ex. 4: From a distance of 20 m from the base a lighthouse the angle of elevation to the top of a lighthouse is 38º. Determine the height of the lighthouse. h h 38º 20 m The lighthouse is m high.