Trigonometric ratios, which include sine, cosine, and tangent, are super helpful for finding heights and distances. Here's how they work:
Finding Height: If you want to know how tall a tree is, you can measure how far you are from the tree and the angle you look up to see the top.
If you're ( d ) meters away and the angle is ( \theta ), you can find the height ( h ) using this formula:
Measuring Distance: If you want to know how far away a tower is, you can measure the angle you look down from the top.
These methods help us get accurate measurements in areas like engineering and physics!
Trigonometric ratios, which include sine, cosine, and tangent, are super helpful for finding heights and distances. Here's how they work:
Finding Height: If you want to know how tall a tree is, you can measure how far you are from the tree and the angle you look up to see the top.
If you're ( d ) meters away and the angle is ( \theta ), you can find the height ( h ) using this formula:
Measuring Distance: If you want to know how far away a tower is, you can measure the angle you look down from the top.
These methods help us get accurate measurements in areas like engineering and physics!