At a point on the ground 24 ft from the base of a tree, the distance to the top of the tree is 4 ft more than 3 times the height of the tree. Find the height of the tree.

Therefore,

The height of the tree is 7 ft.

Step-by-step explanation:

Consider a diagram shown below such that

Let,

AB = h = height of tree

'C' is a point on the ground 24 ft from the base 'B' of a tree

BC = 24 ft

The distance to the top of the tree is 4 ft more than 3 times the height of the tree

AC =  4 + 3h

To Find:

AB = h = ? ( height of tree)

Solution:

In Right Angle Triangle ABC by Pythagoras theorem we have

Substituting the values we get

Using (A+B)²=A²+2AB+B² we get

Dividing through out by 8 we get

Which is a quadratic equation, so on factorizing we get

h cannot be negative therefore ,

Therefore,

The height of the tree is 7 ft.

javeir earned 56 dollors more than kyle so kyle and javier had 14w but javier made 56 dollors more so 14w plus 56 equals 70w so kyle has 14w

step-by-step explanation: hope i plz give me brainliest with the points so this is not constant cause it says last week so its clearly not every week

chase is right because he already been to the swings and he know how far it will be to get there

step-by-step explanation: