A triangular garden has two equal sides \( 3.6 m \) long and a contained angle of \( 80 ^ { \circ } \)
a) How much edging, to the nearest meter, is needed for this garden?
b) How much area does the garden cover? Round your answer to the nearest tenth of a square meter.
After sketching a line down representing the height of the isosceles Triangle, dividing the triangle equally, following applies per sketch of left half hypotenuse = 3.6m
Angle A = 90° - 80°/2 =50° cos50° = adj/hyp =b/2.6 ( b= B/2) and sin50° =opp/hyp= height/2.6 b = 2.6cos50° = 1.7m Base = 3.4m and height = 2.6sin50° = 1.99 m a) amount of fencing = 2.6m +2.6m + 3.4m b) Area = (3.4m)(1.99m)/2
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. \( \theta = 2000 ^ { \circ } , \beta = 920 ^ { \circ }\)
