In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=15°, and JH = 54 feet. Find the length of HI to the nearest tenth of a foot
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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:
