Solve Word Problem | Law of Sines ASA

The video tutorial explains how to solve a problem involving two observers and a hot air balloon. The observers are 1.6 miles apart, and the angles of elevation to the balloon are given. The tutorial demonstrates how to use trigonometry to find the height of the balloon, emphasizing the importance of accurate calculations and avoiding rounding errors. The instructor provides step-by-step guidance on solving the triangle and calculating the height, while also discussing the significance of maintaining precision in mathematical computations.

What is the distance between the two observers?

• 1.6 miles

• 2.0 miles

• 2.5 miles

• 1.8 miles

What are the angles of elevation from the observers to the balloon?

• 60 degrees and 20 degrees

• 45 degrees and 30 degrees

• 36 degrees and 28 degrees

• 50 degrees and 40 degrees

Why can't we assume the balloon is in the middle of the observers?

• Because the angles of elevation are different

• Because the observers are not aligned

• Because the distance is too short

• Because the balloon is moving

What is the third angle in the triangle formed by the observers and the balloon?

• 116 degrees

• 90 degrees

• 100 degrees

• 130 degrees

Which trigonometric law is used to find the side length opposite the 28-degree angle?

• Law of Sines

• Law of Cosines

• Pythagorean Theorem

• Tangent Rule

What is the calculated side length opposite the 28-degree angle?

• 0.5 miles

• 1.0 miles

• 1.2 miles

• 0.836 miles

What is the final calculated height of the balloon?

• 0.75 miles

• 0.60 miles

• 0.36 miles

• 0.49 miles