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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The questions are illustrations of trigonometry ratios and right triangles
- The value of x is 11.8310
- The tree is 23.3154 feet tall
- The depth of the sub is 376.7770 meters
Trigonometry ratio
Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.
<h3>Question 1</h3>The value of x is calculated using the following sine trigonometry ratio
Make x the subject
This gives
Hence, the value of x is 11.8310
<h3>Question 2</h3>This question is illustrated by the first diagram in the attached figure
The height (h) of the tree is calculated using the following tangent trigonometry ratio
Make h the subject
This gives
Hence, the tree is 23.3154 feet tall
<h3>Question 3</h3>This question is illustrated by the second diagram in the attached figure
The depth (h) of the sub is calculated using the following tangent trigonometry ratio
Make h the subject
This gives
Hence, the depth of the sub is 376.7770 meters
Read more about trigonometry ratios at:
