Standing in your tree house, 50 feet off the ground, you look down at a 60° angle and notice a frisbee. approximately how many
feet from the base of the tree is the frisbee?
1 answer:
Draw a diagram
assuming you are directly over the base of the tree
we need to find the ratio between the adjacent angle and oposite angle
adjacent angle is the disatnce from frisbee to base of tree
oposite angle is 50ft
so
tan=oposite/adjacent
tan(60°)=50/?
?tan(60°)=50
?=50/tan(60°)
use your calculator
?≈28.8675
so about 29ft away from the base of the tree is the frisbee
assuming you are directly over the base of the tree
we need to find the ratio between the adjacent angle and oposite angle
adjacent angle is the disatnce from frisbee to base of tree
oposite angle is 50ft
so
tan=oposite/adjacent
tan(60°)=50/?
?tan(60°)=50
?=50/tan(60°)
use your calculator
?≈28.8675
so about 29ft away from the base of the tree is the frisbee
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Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio , 1 + 2 + 3 = 6 parts
Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Since there is an angle of 90° then the triangle is right.
(b)
The shortest side is the side opposite the smallest angle of 30°
Using the sine ratio and the exact value
sin30° = , then
sin30° = =
=
( cross- multiply )
2 opp = 19 ( divide both sides by 2 )
opp = 9,5
Shortest side in the triangle is 9.5 cm