SaiBook.us SAT-2

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Trigonometry function( sine, cosine, tangent)

Grade: 1400-a Lesson: S3-L1

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 person, standing on the bank of a river, observes that the angle subtended by a tree on the opposite bank is 60°. when he retreats 20m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river.	A) h = 13.32 m and w = 10 m B) h = 17.32 m and w = 10 m C) h = 10 m and w = 17.32 m D) h = 10 m and w = 13.32 m
2	A person standing 50 meters away from the base of a building observes that the angle of elevation to the top of the building is 30 degrees. How tall is the building?	A) 21.33 B) 25.71 C) 28.87 D) 26.23
3	Evaluate sin (n + 1)x sin (n + 2)x - cos (n + 1)x cos (n + 2)x.	A) \$ cos(1) x^2 \$ B) \$ sin(1) x^2 \$ C) \$ x^2 sin(2n + 3) \$ D) \$ - x^2 cos(2n + 3) \$
4	In a circle of diameter 80 cm, the length of a chord is 40 cm. Find the length of minor arc of the chord.	A) \$ (40 pi)/3\$ B) \$ (20 pi)/3\$ C) \$ (10 pi)/3\$ D) \$ pi/4 \$
5	Find the value of the trigonometric function sec (- 1410°).	A) \$ (2\sqrt3)/3\$ B) \$ (\sqrt3)/2\$ C) \$ 1/2\$ D) \$ 2/(\sqrt3)\$
6	A tower stands on the top of a hill. From a point A at the base of the hill, the angle of elevation to the top of the tower is 30°. From a point B, which is 20 cm closer to the tower than point A, the angle of elevation is 45°. Calculate the height of the tower and the distance from point A to the base of the tower.	A) h = 27.32 cm and distance = 47.32 cm B) h = 47.23 cm and distance = 27.32 cm C) h = 72.32 cm and distance = 74.32 cm D) h = 74.23 cm and distance = 72.32 cm
7	If \$5(tan^2 x - cos^2 x)\$ = 2cos 2x + 9, then the value of cos 4x is:	A) \$- 7/9\$ B) \$9/7\$ C) \$ 7/9\$ D) \$- 9/7\$
8	Find the maximum value of the function \$y = 2sin⁡(x)+ \sqrt(3)cos⁡(x)\$.	A) 1 B) 2 C) 3 D) 4
9	A bridge is being built across a river. From one side of the river, the angle of elevation to the top of the bridge is 40 degrees. If the bridge is 200 feet tall, how wide is the river?	A) 283.35 feet B) 230.35 feet C) 238.35 feet D) 280.35 feet
10	A lighthouse is located on a cliff 80 meters above sea level. It emits a beam of light that rotates at a constant rate, making a full revolution every 30 seconds. A ship is sailing directly towards the cliff at a constant speed of 10 meters per second. How fast is the distance between the ship and the lighthouse decreasing when the ship is 100 meters away from the cliff?	A) \$9.42 "meter"/ "second"\$ B) \$- 4.92 "meter"/"second"\$ C) \$- 9.42 "meter"/"second"\$ D) \$4.92 "meter"/"second"\$

Problem Id

Problem

Options

A person, standing on the bank of a river, observes that the angle subtended by a tree on the opposite bank is 60°. when he retreats 20m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river.

A) h = 13.32 m and w = 10 m

B) h = 17.32 m and w = 10 m

C) h = 10 m and w = 17.32 m

D) h = 10 m and w = 13.32 m

A person standing 50 meters away from the base of a building observes that the angle of elevation to the top of the building is 30 degrees. How tall is the building?

A) 21.33

B) 25.71

C) 28.87

D) 26.23

Evaluate sin (n + 1)x sin (n + 2)x - cos (n + 1)x cos (n + 2)x.

A) \$ cos(1) x^2 \$

B) \$ sin(1) x^2 \$

C) \$ x^2 sin(2n + 3) \$

D) \$ - x^2 cos(2n + 3) \$

In a circle of diameter 80 cm, the length of a chord is 40 cm. Find the length of minor arc of the chord.

A) \$ (40 pi)/3\$

B) \$ (20 pi)/3\$

C) \$ (10 pi)/3\$

D) \$ pi/4 \$

Find the value of the trigonometric function sec (- 1410°).

A) \$ (2\sqrt3)/3\$

B) \$ (\sqrt3)/2\$

C) \$ 1/2\$

D) \$ 2/(\sqrt3)\$

A tower stands on the top of a hill. From a point A at the base of the hill, the angle of elevation to the top of the tower is 30°. From a point B, which is 20 cm closer to the tower than point A, the angle of elevation is 45°. Calculate the height of the tower and the distance from point A to the base of the tower.

A) h = 27.32 cm and distance = 47.32 cm

B) h = 47.23 cm and distance = 27.32 cm

C) h = 72.32 cm and distance = 74.32 cm

D) h = 74.23 cm and distance = 72.32 cm

If \$5(tan^2 x - cos^2 x)\$ = 2cos 2x + 9, then the value of cos 4x is:

A) \$- 7/9\$

B) \$9/7\$

C) \$ 7/9\$

D) \$- 9/7\$

Find the maximum value of the function \$y = 2sin⁡(x)+ \sqrt(3)cos⁡(x)\$.

A) 1

B) 2

C) 3

D) 4

A bridge is being built across a river. From one side of the river, the angle of elevation to the top of the bridge is 40 degrees. If the bridge is 200 feet tall, how wide is the river?

A) 283.35 feet

B) 230.35 feet

C) 238.35 feet

D) 280.35 feet

A lighthouse is located on a cliff 80 meters above sea level. It emits a beam of light that rotates at a constant rate, making a full revolution every 30 seconds. A ship is sailing directly towards the cliff at a constant speed of 10 meters per second. How fast is the distance between the ship and the lighthouse decreasing when the ship is 100 meters away from the cliff?

A) \$9.42 "meter"/ "second"\$

B) \$- 4.92 "meter"/"second"\$

C) \$- 9.42 "meter"/"second"\$

D) \$4.92 "meter"/"second"\$