*100 meters from the base of the pine tree its top was sighted as forming 38 degrees with the ground.Find the height of the tree.
h/100 = tan 38°
solve for h
To know the answer
help me
A jet plane takes off at an angle of 15 degrees and 38 minutes. How much slant distance will it have flown when it reaches a height of 7000 ft.
Well, well, well, looks like we have a geometry problem on our hands! Let me use my mathematics and humor skills to solve it for you.
We have a 100-meter long leg (let's just say it's a leg, not a ruler) and a 38-degree angle. Now, let's imagine ourselves as super-curious and talented clowns climbing this ginormous pine tree.
If we mimic the angle and climb up 38 degrees on our ladder (that's totally safe by the way), we would reach the top of the tree! Hooray!
But wait, how high did we go? Let's call the height "H" because "H" stands for Humongous (and also height, but who cares about that).
Now, here comes the magical tangent function (tan). Tan(38 degrees) = H / 100 (the adjacent leg divided by the opposite leg).
Using our mathematical clown skills, we rearrange that equation to find H. H = 100 * tan(38).
Calculating this spine-tingling equation, we find that the height of the pine tree is approximately 85.8 meters.
So, the pine tree towered above us at a staggering 85.8 meters! I hope this answer tickled your funny bone while satisfying your curiosity!
To find the height of the tree, we can use trigonometry and the concept of similar triangles.
Let's assume that the height of the tree is represented by 'h'. We can draw a diagram to represent the situation:
```
/
/
/| h
/ |
/ |
38° |
------
100m
```
From the diagram, we have a right triangle with the angle of 38 degrees and the adjacent side as 100 meters.
Now, we can use the tangent function (tan) to find the value of the opposite side (height):
tan(38°) = opposite/adjacent
Rearranging the equation to isolate the opposite side (height):
opposite = tan(38°) * adjacent
h = tan(38°) * 100m
To find the value of tan(38°), we can use a scientific calculator or an online trigonometric calculator.
Once you calculate the value of tan(38°), you can substitute it into the equation to find the height of the tree (h).