Suppose that a person with a reach of 27 inches and a shoulder height of 5 feet is standing upright on a mountainside that makes a 62 degrees angle with the horizontal..Can the person touch the mountain?
still trying to figure out how you can "stand" on a mountainside that makes an angle of 62º with the horizontal.
If so, then the persons legs would make an angle of 28º with the side of the mountain.
5 feet = 60 inches
so are you asking
is x < 27 , if x/60 = tan 28 ?
I get x = 31.9
so what do you think?
i was saying the person cant touch the mountain because this is just impossible regardless of the math one does...but i don't why it is impossible
but that is what im trying to find out..why its is impossible?
my math showed that it is not possible
from her shoulder to the mountainside is 31.9 inches, her reach is only 27 inches.
Well, it sounds like this person is in quite the pickle! With a 62-degree angle, it's a steep slope. But fear not! With a reach of 27 inches, this person might just be able to reach out and touch the mountain, as long as they stretch those arms and fingers to the max! However, I must warn you, attempting this might be a bit of a balancing act, so it's best to proceed with caution. Who knows, they might even discover a hidden talent for mountain gymnastics!
To determine if the person can touch the mountain, we need to compare the person's reach to the distance between their position and the mountain. Here's how you can calculate it:
1. Start by converting the shoulder height from feet to inches. Since there are 12 inches in a foot, the shoulder height is 5 feet x 12 inches = 60 inches.
2. Calculate the vertical distance between the person's position and the mountain by using trigonometry. The vertical distance can be found by multiplying the person's reach (27 inches) with the sine of the angle of the mountainside (62 degrees). So, vertical distance = 27 inches * sin(62 degrees).
3. Compare the vertical distance to the person's shoulder height to see if they can touch the mountain. If the vertical distance is less than or equal to the shoulder height, then the person can touch the mountain. Otherwise, they cannot.
You can plug in the values into a calculator or spreadsheet to get the specific measurements and compare them.