Darnell

Darnell is mountain climbing with Kirk and has just climbed a 9-meter vertical rock face. Kirk is standing at the bottom of the cliff, looking up at Darnell. If Kirk is 15 meters away from Darnell, how far away from the cliff is Kirk standing?

Correct answer:

a =  12 m

Step-by-step explanation:

$$\begin{gathered} b=9\text{ m } \\ c=15\text{ m } \\ {a}^2+b^2=c^2 \\ a=\sqrt{c^2-b^2}=\sqrt{15^2-9^2}=12\text{ m} \end{gathered}$$

Try another example

Related math problems and questions:

• Top of the tower
  The top of the tower has the shape of a regular hexagonal pyramid. The base edge has a length of 1.2 m, the pyramid height is 1.6 m. How many square meters of sheet metal is needed to cover the top of the tower if 15% extra sheet metal is needed for joint
• Pavement
  Calculate the length of the pavement that runs through a circular square with a diameter of 40 m if distance the pavement from the center is 15 m.
• Diagonals of diamond
  Find the area and circumference of the diamond ABCD with 15m and 11m diagonals.
• A box
  A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall what is the diagonal S of the bottom side? What is the length of the body diagnol R?
• A mast
  A mast 32 meters high was broken by the wind so that its top touches the ground 16 meters from the pole. The still standing part of the mast, the broken part and the ground form a rectangular triangle. At what height was the mast broken?
• The ladder
  The ladder is 10 m long The ladder is 8 m high How many meters is the distant heel from the wall?
• Free space in the garden
  The grandfather's free space in the garden was in the shape of a rectangular triangle with 5 meters and 12 meters in length. He decided to divide it into two parts and the height of the hypotenuse. For the smaller part creates a rock garden, for the large
• Cuboid face diagonals
  The lengths of the cuboid edges are in the ratio 1: 2: 3. Will the lengths of its diagonals be the same ratio? The cuboid has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this cuboid.
• The garden
  The garden has the shape of a rectangular trapezium. The bases have lengths of 27 meters and 36 meters, the trapezoid's height is 12 meters. Calculate how much fence will cost this garden if one meter costs 1.5 €?
• Median in right triangle
  In the rectangular triangle ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse).
• Hectoliters
  How deep is the pool if there are 2025 hectoliters of water and the bottom dimensions are a = 15 meters b = 7.5 meters and the water level is up to 9/10 (nine-tenths) of height?
• Ladder
  How long is a ladder that touches on a wall 4 meters high, and its lower part is 3 meters away from the wall?
• Vertical rod
  The vertical one meter long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long at the same time.
• How to
  How to find a total surface of a rectangular pyramid if each face is to be 8 dm high and the base is 10 dm by 6 dm.
• How many
  How many m² of copper sheet is needed to replace the roof of a conical tower with a diameter of 13 meters and a height of 24 meters, if we count 8% of the material for bending and waste?
• Cross road
  From the junction of two streets that are perpendicular to each other, two cyclists (each on another street) walked out. One ran 18 km/h and the second 24 km/h. How are they away from a) 6 minutes, b) 15 minutes?
• Broken tree
  The tree was 35 meters high. The tree broke at the height of 10 m above the ground. Top but does not fall off it refuted on the ground. How far from the base of the tree lay its peak?