In shown below, the measure of is 41º, the measure of In the right angle triangle below, if has a sine of, a is 34º, and is 25 units long. Which of the following is 50. 50. cosine of , and a tangent of , how many inches long is ? an expression for the length, in units, of ? (Note: The law of sines states that, for any triangle, the ratios of F. the sines of the interior angles to the lengths of the G. 6 sides opposite those angles are equal.) H. J. A. K. B. C. D. E. If tangent of an angle is , what is the cosine of the 57. same angle? A surveyor took and recorded the measurements A. 52. shown in the figure below. If the surveyor wants B. to use these 3 measurements to calculate the C. D. length of the pond, which of the following would E. be the most directly applicable? From a hot air balloon, the angle between a radio antenna straight below and the base of the library F. The ratios for the side lengths of 30º-60º-90º downtown is . If the distance between the radio triangles antenna and the library is 1.3 miles, how many G. The ratios for the side lengths of 45º-45º-90º miles high is the balloon? triangles H. The law of cosines: For any where is the a length of the opposite , is the length of the b opposite, and is the length of the side opposite , c J. The Pythagorean theorem 47. K. A formula for the area of a triangle A. 1.3 sin B. 1.3 tan C. D. E. FG
50. In the right angle triangle below, if has a sine of, a cosine of , and a tangent of , how many inches long is ? F. G. 6 H. J. K. 50. In shown below, the measure of is 41º, the measure of is 34º, and is 25 units long. Which of the following is an expression for the length, in units, of ? (Note: The law of sines states that, for any triangle, the ratios of the sines of the interior angles to the lengths of the sides opposite those angles are equal.) A. B. C. D. E. 57. 47. If tangent of an angle is , what is the cosine of the same angle? A. B. C. D. E. From a hot air balloon, the angle between a radio antenna straight below and the base of the library downtown is . If the distance between the radio antenna and the library is 1.3 miles, how many miles high is the balloon? 52. A surveyor took and recorded the measurements shown in the figure below. If the surveyor wants to use these 3 measurements to calculate the length of the pond, which of the following would be the most directly applicable? F. The ratios for the side lengths of 30º-60º-90º triangles G. The ratios for the side lengths of 45º-45º-90º triangles H. The law of cosines: For any where a is the length of the opposite , b is the length of the opposite, and c is the length of the side opposite , J. The Pythagorean theorem K. A formula for the area of a triangle A. 1.3 sin B. 1.3 tan C. D. E. FG
act_worksheet_--_g_trigonometry.docx