Games
Problems
Go Pro!

# Climbing a Volcano

Pro Problems > Math > Geometry > Triangles > Right Triangles

## Climbing a Volcano

Harold climbs a conical volcano.  The base of the mountain is 1 kilometer wide, and the caldera (the plateau at the top) is 0.1 kilometers wide. If the volcano is 2 kilometers tall from base to caldera, how far does Harold have to hike to reach the caldera? Give your answer to the nearest 100th of a kilometer.

Presentation mode
Problem by Mr. Twitchell

## Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.
Assign this problem

## Similar Problems

### Pythagorean Triple

In a right triangle, the sides have lengths x, x + 21, and x + 24. What is the length of the hypotenuse of the triangle?

### Find the Hypotenuse

The sides of a right triangle are x + 3, x + 5, and x + 7.  Find x.

### Rectangle in Triangle

The area of the right triangle shown is 72 square units. The rectangle inscribed in it has length
1
4
the length of the triangle, and height
2
3
the height of the triangle.  What is the area of the rectangle?

### Right Triangle Hypotenuse

The length of the hypotenuse of a right triangle is one more than one of the legs. The other leg has a length of 11. What is the length of the hypotenuse?