Problem-solving Involving Similar and right triangle

The sun causes a shadow that extends 24 feet from the side of a house that is 16 feet tall. Nearby is a 4 feet tall fence, which also has a shadow. If the sun's rays hit the house and the fence at the same angle, what is the length of the shadow cast by the shed?

• 4ft.

• 5ft.

• 6ft.

• 7ft.

Anna and Kevin both went for a hike in the mountains, and they see a goat up on the mountain. Anna and Kevin are both looking up at the goat at the same angle, but Anna is standing 1,200 feet away from the mountain and the goat is 200 feet above her head. If Kevin is standing 900 feet away from the mountain, how far above his head is the goat?

• 100ft.

• 150ft.

• 200ft.

• 250ft.

A 25 ft. ladder needs to be placed against a wall 15 ft. high. How far do you place the ladder away from the base of the wall?

• 5ft.

• 10ft.

• 15ft.

• 20ft.

A ship sails 6 km East and then 8km North. Find the ship’s distance from its starting point.

• 6 km

• 8 km

• 10 km

• 12 km

A ladder is 5m long. The base of the ladder is 3m from the base of a vertical wall. How far up the wall does the ladder reach?

• 1 meter

• 2 meters

• 3 meters

• 4 meters

Alex and Sam start from the same point. Alex walks 400 meters west. Sam walks x meters south, until they are 600 meters apart from each other. How far does Sam walk?

• 427.21 meters

• 437.21 meters

• 447.21 meters

• 457.21 meters

A television’s size is the measurement from the upper lefthand corner of the television to the bottom righthand corner. Find the size of this television.

• 75 inches

• 150 inches

• 175 inches

• 250 inches

The pole of a sailing boat is supported by a rope from the top of the pole to an anchor point on the deck. The pole is 4m long and the rope is 4.5m long. Calculate the distance from the base of the pole to the anchor point of the rope on the deck.

• 1.06 meter

• 2.06 meters

• 3.06 meters

• 4.06 meters

What is the theorem that states that if a triangle is a right-angled triangle, then the square of the hypotenuse is equal to the sum of the squares of the other two sides?

• Hypotenuse- Leg theorem

• Thales Theorem

• Basic Proportionality Theorem

• Pythagorean Theorem

What do you call the two figures with the same shape but proportional length of sides?

• Congruent Figures

• Similar Figures

• Equal Figures

• Corresponding Figures