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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Law of sines and cosines

Grade: 1300-a Lesson: S3-L7

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	A triangle has sides of lengths 6 inches, 8 inches, and 10 inches. Find the measure of the largest angle.	A) 90° B) 60° C) 30° D) 120°
2	From the top of a building, the angle of depression to a point on the ground is 30 degrees. If the building is 50 meters high, how far is the point from the base of the building?	A) \$ 70sqrt3 \$ meters B) \$ 50sqrt3 \$ meters C) \$ 40sqrt3 \$ meters D) \$ 30sqrt3 \$ meters
3	A ship leaves port and travels 120 kilometers at a bearing of 150°. It then changes direction and travels 80 kilometers at a bearing of 240°. How far is the ship from the port?	A) 163.2 kilometers B) 184.2 kilometers C) 144.2 kilometers D) 154.9 kilometers
4	In a triangle, we have the sides a = 17, b = 18, and c = 19. What is the measure of angle C?	A) 55.2° B) 75.4° C) 45.6° D) 65.8°
5	In triangle PQR, if side p measures 20 units, side q measures 15 units, and angle R measures 60 degrees, find the length of side r.	A) 16.2 units B) 17.8 units C) 15.6 units D) 18.0 units
6	A golfer misses a 12-foot putt by putting 3ºoff course. The hole now lies at a 129º angle between the ball and its spot before the putt. What distance does the golfer need to putt in order to make the shot?	A) 0.58 ft B) 0.96 ft C) 0.85 ft D) 0.69 ft
7	For the initial 90 miles of a flight, the pilot heads 8º off course to avoid a storm. The pilot then changes direction to head toward the destination for the remainder of the flight, making a 157 angle to the first flight course. Determine the total distance of the flight.	A) 128.4 miles B) 138.4 miles C) 183.4 miles D) 158.4 miles
8	In circle O, quadrilateral ABCD is inscribed such that ∠B = 45° and ∠C = 120°. We are also given AB = 16 in and BC = 10 in . Find the length of AD.	A) 15.87 in B) 17.58 in C) 18.57 in D) 16.78 in
9	Given a triangle ABC with sides a = 9 ft, b = 12 ft, and c = 15 ft, find the measure of ∠C and the area of the triangle.	A) 180° and 54 sq.ft B) 90° and 54 sq.ft C) 180° and 45 sq.ft D) 90° and 45 sq.ft
10	A ship sails 60 miles east, then changes course to 45 degrees north of east and sails another 80 miles. How far is the ship from its starting point?	A) 56.76 miles B) 65.76 miles C) 56.67 miles D) 65.76 miles

Problem Id

Problem

Options

A triangle has sides of lengths 6 inches, 8 inches, and 10 inches. Find the measure of the largest angle.

A) 90°

B) 60°

C) 30°

D) 120°

From the top of a building, the angle of depression to a point on the ground is 30 degrees. If the building is 50 meters high, how far is the point from the base of the building?

A) \$ 70sqrt3 \$ meters

B) \$ 50sqrt3 \$ meters

C) \$ 40sqrt3 \$ meters

D) \$ 30sqrt3 \$ meters

A ship leaves port and travels 120 kilometers at a bearing of 150°. It then changes direction and travels 80 kilometers at a bearing of 240°. How far is the ship from the port?

A) 163.2 kilometers

B) 184.2 kilometers

C) 144.2 kilometers

D) 154.9 kilometers

In a triangle, we have the sides a = 17, b = 18, and c = 19. What is the measure of angle C?

A) 55.2°

B) 75.4°

C) 45.6°

D) 65.8°

In triangle PQR, if side p measures 20 units, side q measures 15 units, and angle R measures 60 degrees, find the length of side r.

A) 16.2 units

B) 17.8 units

C) 15.6 units

D) 18.0 units

A golfer misses a 12-foot putt by putting 3ºoff course. The hole now lies at a 129º angle between the ball and its spot before the putt. What distance does the golfer need to putt in order to make the shot?

A) 0.58 ft

B) 0.96 ft

C) 0.85 ft

D) 0.69 ft

For the initial 90 miles of a flight, the pilot heads 8º off course to avoid a storm. The pilot then changes direction to head toward the destination for the remainder of the flight, making a 157 angle to the first flight course. Determine the total distance of the flight.

A) 128.4 miles

B) 138.4 miles

C) 183.4 miles

D) 158.4 miles

In circle O, quadrilateral ABCD is inscribed such that ∠B = 45° and ∠C = 120°. We are also given AB = 16 in and BC = 10 in . Find the length of AD.

A) 15.87 in

B) 17.58 in

C) 18.57 in

D) 16.78 in

Given a triangle ABC with sides a = 9 ft, b = 12 ft, and c = 15 ft, find the measure of ∠C and the area of the triangle.

A) 180° and 54 sq.ft

B) 90° and 54 sq.ft

C) 180° and 45 sq.ft

D) 90° and 45 sq.ft

A ship sails 60 miles east, then changes course to 45 degrees north of east and sails another 80 miles. How far is the ship from its starting point?

A) 56.76 miles

B) 65.76 miles

C) 56.67 miles

D) 65.76 miles