# A boat is 68 feet from the base of cliff. If the distance from the top of the cliff to the boat is 17 less than twice the height of the cliff to the water. How do you find the height of the cliff?

##### 1 Answer

Dec 3, 2016

51

#### Explanation:

Draw a right angle triangle . The the base is the sea and the line perpendicular to it is the cliff

The base , i.e. distance of from boat to the cliff is 68

Let the height of the cliff be h.

The hypotenuse, the distance from the top of the cliff to the boat is therefore 2h-17

Pythagoras tells us that

Factorise

h=51

The other result is negative and therefore not relevant .

If you cannot factorise then solve using the formula.