Question 43 Answer and Explanation _ACT December 2015 Form 72E Math Section

Question 43 Answer and Explanation _ACT December 2015 Form 72E Math Section

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Use the following information to answer questions 41-44.

In the standard (x, y) coordinate plane below, R is located at (1, 0), S is located at (1, 2), and T is located at (4, 0) to form right triangle △RST. The given lengths are in coordinate units.

43. Which of the following expressions gives the measure of ∠STR ?

A. ${cos}^{-1}(\frac{2}{3})$

B. ${sin}^{-1}(\frac{2}{3})$

C. ${sin}^{-1}(\frac{3}{2})$

D. ${tan}^{-1}(\frac{2}{3})$

E. ${tan}^{-1}(\frac{3}{2})$

Answer and Explanation

Your Answer is

Correct Answer is D

Explanation

Note that tan^-1=arctan here, not cot.