in this math problem cant find the height of the tree

Question

At a point on the ground 35ft from the base of a? tree, the distance to the top of the tree is 1 ft more than 3 times the height of the tree. Find the height of the tree.

 

The height of the tree is ____ft

Answer 1

This is a Pythagorean Theorem problem. It helps to draw a picture of the situation; you will see it is a triangle.

 

35  = a

x = b

3x + 1 = c

 

a²+b²= c²

 

 

35²+x²=(3x+1)²

 

Can you solve it from there?

 

Let me know if you would like more help!