Unit 10 Practice REDEMPTION (H)

Brenda and Camry are at points B and C.

They are 120 feet apart, as shown. How far is each person from Amanda at point A?

Round to the nearest foot.

• b ≈ 150

• b ≈ 173

• c ≈ 130

• c ≈ 140

Solve the Triangle.

• ∠C ≈ 41.2°

• ∠C ≈ 35.4°

• ∠B ≈ 81.8°

• ∠B ≈ 92.4°

• AC ≈ 16.5 cm

In △ABC, AB = 8 m, BC = 15 m, and m∠A = 108°

How many triangles are possible?

What is m∠C? What is m∠B? What is AC?

• ONE

  Triangle is possible

• TWO

  Triangles are possible

• The Triangle is

  NOT possible

• ∠C ≈ 30.5°

  ∠B ≈ 41.5°

  AC ≈ 10.5 m

• ∠C ≈ 34.5°

  ∠B ≈ 46.5°

  AC ≈ 12.5 m

Find the unknown measurements using the Law of Sines.

• ∠S = 111°

• r ≈ 12.4

• r ≈ 17.3

• t ≈ 35.8

• t ≈ 31.6

Find the unknown angle measures and side lengths of △ABC, if possible.

• ONE

  triangle is possible

• TWO triangles are possible

• ∠B ≈ 50.9°

  ∠C ≈ 95.1°

  c ≈ 55.2

• ∠ B ≈ 129.1°

  ∠C ≈ 16.9°

  c ≈ 16.1

• ∠ B ≈ 135.2°

  ∠C ≈ 10.8°

  c ≈ 12.4

• A

• B

• C

• D

What are the angle measures of the triangle?

• ∠A ≈ 100.2°

• ∠B ≈ 59.9°

• ∠B ≈ 64.7°

• ∠C ≈ 19.8°

• ∠C ≈ 15.1°

Sofia, Claire, and Evelyn are playing catch.

Sofia is 45 feet from Claire and 58 feet from Evelyn.

The angle made by Sofia is 46°. How far is Claire from Evelyn?

Round to the nearest WHOLE number

Find the area of a triangular piece of wood with side lengths of 34 inches, 24 inches, and 18 inches.

Solve the triangle.

• y ≈ 38.7

• ∠Z ≈ 41.0°

• ∠Z ≈ 45°

• ∠X ≈ 74.0°

• ∠X ≈ 70.0°