SaiBook.us SAT-2

Lesson Example Discussion Quiz: Class Homework

Quiz At Home

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: at Home

Problem Id	Problem	Options
1	A rope is tied between two poles. The height of one pole is 6 meters and the elevation angle from the other pole to the top of the first pole is 60∘. How long is the rope?	A) 7.23 meters B) 6.93 meters C) 8.91 meters D) 9 meters
2	A ladder is leaning against a wall. If the ladder makes a 60-degree angle with the ground and the bottom of the ladder is 4 meters away from the wall, how long is the ladder?	A) 6 meters B) 7 meters C) 8 meters D) 9 meters
3	A tree stands on level ground. From a point 20 meters away from the base of the tree, the angle of elevation to the top of the tree is 45 degrees. A taut rope is then tied from the top of the tree to the ground. Find the length of the rope.	A) 12.28 meters B) 28.14 meters C) 12.36 meters D) 28.28 meters
4	If sin(α) = 0.5 and cos(β) = 0.8, find the values of sin(α + β) and cos(α - β).	A) 0.9196 and 0.9928 B) 0.9236 and 0.9729 C) 0.8996 and 0.9890 D) 0.7296 and 0.7231
5	An airplane is flying at an altitude of 8000 meters. At a certain point, an observer on the ground measures the angle of elevation to the airplane as 30 degrees. How far is the airplane from the observer at this point?	A) 13856.4 meters B) 12896.4 meters C) 13346.4 meters D) 12366.4 meters
6	In a particular month, the angle between the sun and the horizontal at noon is 60 degrees at a certain location. Determine the length of the shadow cast by a tower that is 100 in tall.	A) 57.73 in B) 53.73 in C) 75.73 in D) 73.73 in
7	\$cos⁡(θ) = 1/3\$ and θ lies in quadrant IV, find sin⁡(θ).	A) \$2\sqrt(2)/(3)\$ B) \$sqrt(2)/(3)\$ C) \$- 2\sqrt(2)/(3)\$ D) \$- sqrt(2)/(3)\$
8	If sin(x) = 0.8 and cos(y) = - 0.6, and both x and y are acute angles, find sin(x + y).	A) 1 B) 0 C) 3 D) 2
9	A Ferris wheel has a diameter of 50 cm and is located 10 cm above the ground. The wheel rotates at a constant speed, completing one full revolution every 2 minutes. Suppose you are in one of the passenger cars, and you want to find your distance above the ground at a certain time after the ride begins.	A) 52 cm B) 48 cm C) 25 cm D) 28 cm
10	Find the values of the trigonometric function, If \$sinx = - 12/13\$, x lies in the fourth quadrant.	A) \$cos(x) = 5/13\$, \$tan(x )= 12/5\$, \$csc(x) = 13/12\$, \$sec(x) = 13/5\$, \$cot(x) = − 5/12\$ B) \$cos(x) = - 5/13\$, \$tan(x )= 12/5\$, \$csc(x) = 13/12\$, \$sec(x) = 13/5\$, \$cot(x) = 5/12\$ C) \$cos(x) = 5/13\$, \$tan(x )= 5/12\$, \$csc(x) = 13/12\$, \$sec(x) = 5/13\$, \$cot(x) = 12/5\$ D) \$cos(x) = 5/13\$, \$tan(x )= − 12/5\$, \$csc(x) = − 13/12\$, \$sec(x) = 13/5\$, \$cot(x) = − 5/12\$

Problem Id

Problem

Options

A rope is tied between two poles. The height of one pole is 6 meters and the elevation angle from the other pole to the top of the first pole is 60∘. How long is the rope?

A) 7.23 meters

B) 6.93 meters

C) 8.91 meters

D) 9 meters

A ladder is leaning against a wall. If the ladder makes a 60-degree angle with the ground and the bottom of the ladder is 4 meters away from the wall, how long is the ladder?

A) 6 meters

B) 7 meters

C) 8 meters

D) 9 meters

A tree stands on level ground. From a point 20 meters away from the base of the tree, the angle of elevation to the top of the tree is 45 degrees. A taut rope is then tied from the top of the tree to the ground. Find the length of the rope.

A) 12.28 meters

B) 28.14 meters

C) 12.36 meters

D) 28.28 meters

If sin(α) = 0.5 and cos(β) = 0.8, find the values of sin(α + β) and cos(α - β).

A) 0.9196 and 0.9928

B) 0.9236 and 0.9729

C) 0.8996 and 0.9890

D) 0.7296 and 0.7231

An airplane is flying at an altitude of 8000 meters. At a certain point, an observer on the ground measures the angle of elevation to the airplane as 30 degrees. How far is the airplane from the observer at this point?

A) 13856.4 meters

B) 12896.4 meters

C) 13346.4 meters

D) 12366.4 meters

In a particular month, the angle between the sun and the horizontal at noon is 60 degrees at a certain location. Determine the length of the shadow cast by a tower that is 100 in tall.

A) 57.73 in

B) 53.73 in

C) 75.73 in

D) 73.73 in

\$cos⁡(θ) = 1/3\$ and θ lies in quadrant IV, find sin⁡(θ).

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

B) \$sqrt(2)/(3)\$

C) \$- 2\sqrt(2)/(3)\$

D) \$- sqrt(2)/(3)\$

If sin(x) = 0.8 and cos(y) = - 0.6, and both x and y are acute angles, find sin(x + y).

A) 1

B) 0

C) 3

D) 2

A Ferris wheel has a diameter of 50 cm and is located 10 cm above the ground. The wheel rotates at a constant speed, completing one full revolution every 2 minutes. Suppose you are in one of the passenger cars, and you want to find your distance above the ground at a certain time after the ride begins.

A) 52 cm

B) 48 cm

C) 25 cm

D) 28 cm

Find the values of the trigonometric function, If \$sinx = - 12/13\$, x lies in the fourth quadrant.

A) \$cos(x) = 5/13\$,
\$tan(x )= 12/5\$,
\$csc(x) = 13/12\$,
\$sec(x) = 13/5\$,
\$cot(x) = − 5/12\$

B) \$cos(x) = - 5/13\$,
\$tan(x )= 12/5\$,
\$csc(x) = 13/12\$,
\$sec(x) = 13/5\$,
\$cot(x) = 5/12\$

C) \$cos(x) = 5/13\$,
\$tan(x )= 5/12\$,
\$csc(x) = 13/12\$,
\$sec(x) = 5/13\$,
\$cot(x) = 12/5\$

D) \$cos(x) = 5/13\$,
\$tan(x )= − 12/5\$,
\$csc(x) = − 13/12\$,
\$sec(x) = 13/5\$,
\$cot(x) = − 5/12\$