Solving Triangles Review

Solve for line AC to the nearest tenth?

Mathematical Equivalence

ON

An isosceles triangle has two equal angles measuring 65° each. The height drawn from the top vertex to the base is 18 cm. Determine the measures of the remaining angle and the lengths of the two equal sides. Round your answers to the nearest degree and tenth of a centimetre. Include a diagram with appropriate labels.

• Remaining angle: 45°, Lengths of equal sides: 17.5 cm
• Remaining angle: 55°, Lengths of equal sides: 20.0 cm
• Remaining angle: 50°, Lengths of equal sides: 19.9 cm

• Remaining angle: 60°, Lengths of equal sides: 18.5 cm

Solve for Angle C to the nearest whole number?

Mathematical Equivalence

OFF

The angle of elevation from the base of Building A to the top of Building B is 70°. The angle of elevation from the base of Building B to the top of Building A is 55°. If the two buildings are 120 metres apart, how much taller is the taller building than the shorter one to the nearest hundredth?

Mathematical Equivalence

ON

What is angle X

Mathematical Equivalence

ON

In a right triangle, one of the acute angles is 30°, and the hypotenuse measures 50 cm. Find the lengths of the two legs and the measure of the other acute angle. Sketch and label a diagram. Round each length to the nearest tenth of a centimetre.

• Legs: 25 cm and 43.3 cm; Other acute angle: 60°
• Legs: 30 cm and 45 cm; Other acute angle: 70°
• Legs: 35 cm and 35 cm; Other acute angle: 45°
• Legs: 20 cm and 40 cm; Other acute angle: 50°

Solve for X to the nearest whole number.

Mathematical Equivalence

ON

A fire truck extends its ladder to a length of 30 feet. For safety, the maximum angle of elevation for the ladder is 68°. What is the highest point the ladder can reach on a building, and how far is the base of the ladder from the building? Sketch and label a diagram. Round each length to the nearest tenth of a foot.

• Height: 25.3 feet, Distance: 12.5 feet

• Height: 27.8 feet, Distance: 11.2 feet

• Height: 30.0 feet, Distance: 5.0 feet
• Height: 20.5 feet, Distance: 15.2 feet