A guy wire that is used to support a pole is attached at a height of \( 55 ft \) and at an angle of \( 62.1 ^ { \circ } \) above the ground. How far from the base of the pole is the guy wire attached to the ground?
\( 117.54 ft \)
\( 48.61 ft \)
\( 29.12 ft \)
\( 62.23 ft\)
\(tan62.1° = \frac{55}{d}\)
d=29.12 ft
Lupe and Byron start riding their bikes from the same location. Lupe rides \( 24 \) miles north while Byron rides \( 7 \) miles east. How far apart are Lupe and Byron when they stop riding? HINT: draw a picture.
Use a calculator to show that each of the following pairs of coterminal angles \( \theta \) and \( \beta \) have the same values, correct to four decimals, for the sine ratio.
a. \( \theta = 100 ^ { \circ } , \beta = 460 ^ { \circ } \) b. \( \theta = 245 ^ { \circ } , \beta = - 115 ^ { \circ } \)
c. \( \theta = - 75 ^ { \circ } , \beta = - 1155 ^ { \circ } \) d. \( \theta = 2000 ^ { \circ } , \beta = 920 ^ { \circ }\)
