Use the diagram to answer the questions below. Round answers to the nearest tenth (1 decimal place). A point on the edge of a symmetrical canyon is
\( 4500 \) feet above a river that cuts through the canyon floor. The angle of depression from each side of the canyon to the canyon floor is
\( 60 ^ { \circ } \) . a) Find the length of the canyon wall (from the edge to the river). feet
a) 5196.2 feet
b) 5196.2 feet
c) Less than a mile.
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. \( \theta = 2000 ^ { \circ } , \beta = 920 ^ { \circ }\)
