Learning Goal: To use trigonometric functions to determine unknown angles and si

Question

Learning Goal: To use trigonometric functions to determine unknown angles and sides of various triangles. Three triangles are shown, the first (used in Parts A and B) is a right triangle with W = 24.0 and H = 13.0, the second (used in Part C) has angles theta = 28.5? and = 23.0? and L = 28.0, and the third (used in Part D) has an angle 7 = 138? and the two smaller sides, M and N, equal to 3.50 and 9.00, respectively. Part A - Finding the length of the hypotenuse of the first triangle For the first triangle, what is the length of its hypotenuse? Express your answer to three significant figures. Part B - Finding angle a in the first triangle For the first triangle, what is the value of a? Express your answer to three significant figures in degrees. Part C - Finding Yin the second triangle For the second triangle, what is the length Y?

Explanation / Answer

a) length of hypotense = sqrt (H^2 + W^2) = sqrt(24^2 + 13^2) = sqrt (576 + 169) = sqrt (625) = 25 is answer

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