A tree broken over by the wind forms a right triangle with the ground if the broken parts makes an angle 50 degree with the ground and the top of the tree is now 20 feet from its base how tall the tree?

Question

A tree broken over by the wind forms a right triangle with the ground if the broken parts makes an angle 50 degree with the ground and the top of the tree is now 20 feet from its base how tall the tree?

Answer 1

soirry i havent learnt trig. yet

Answer 2

have not learnt? I agree, Stave.

draw the sketch: observation angle 50 deg, height 20ft.

height/distance=tan50
distance=height/tan50=20/tan50

Answer 3

To find the height of the tree, we can use trigonometry and the given information.

Let's consider the broken parts of the tree as the two legs of a right triangle. One leg is the distance from the top of the tree to the ground (h), and the other leg is the distance from the top of the tree to its base (20 feet).

We can use the trigonometric function tangent (tan), which is the ratio of the opposite side to the adjacent side in a right triangle.

In this case, the opposite side is the height (h) and the adjacent side is the distance from the top to the base (20 feet).

So, we have tan(50 degrees) = h/20

Now, let's solve for h:

h = 20 * tan(50 degrees)

Using a calculator, we find:

h ≈ 20 * 1.1918

h ≈ 23.836 feet

Therefore, the tree is approximately 23.836 feet tall.

Answer 4

To determine the height of the tree, we can use trigonometry and the properties of right triangles. Let's use the tangent function.

First, let's draw a diagram to better visualize the situation. We have a right triangle, where the base represents the distance from the base of the tree to the top (20 ft), the height represents the height of the tree (h), and the angle formed by the broken parts of the tree and the ground is 50 degrees.

|
|
|
|
20 ft | h
|
|__________
50°

Now, we can use the tangent of the angle to find the ratio between the height (opposite side) and the base (adjacent side). The tangent function is defined as the ratio of the opposite side to the adjacent side:

tan(50°) = h/20 ft

To solve for h (the height of the tree), we can rearrange the equation:

h = 20 ft * tan(50°)

Now, let's calculate this value:

Using a scientific calculator or any calculator with trigonometric functions (assuming angles are measured in degrees):

h ≈ 20 ft * 1.1918 (tan(50°) ≈ 1.1918)

Thus, the height of the tree is approximately 23.84 feet.