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.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

c

step-by-step explanation: