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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Trigonometry function( sine, cosine, tangent)

Grade: 1300-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 high dive platform that towers 100 feet above the ground is secured by 135-foot-long guy-wires, as illustrated below. Calculate the measure of 0, the angle formed by a guy-wire and the ground, in radians, and report the answer accurate to three decimal places. $1$	A) 0.92 B) 0.83 C) 0.77 D) 0.65
2	Find the value of csc(θ), and cot(θ) using the image. $2$	A) \$ csc(θ) = 12/5 \$, \$ cot(θ) = 5/12 \$ B) \$ csc(θ) = 13/5 \$, \$ cot(θ) = 13/12 \$ C) \$ csc(θ) = 13/5 \$, \$ cot(θ) = 5/12 \$ D) \$ csc(θ) = 5/13 \$, \$ cot(θ) = 5/12 \$
3	Find the exact value of sin(2θ) if \$ sin(θ) = 3/5 \$ and θ is in the first quadrant.	A) \$ 23/27 \$ B) \$ 24/29 \$ C) \$ 21/28 \$ D) \$ 24/25 \$
4	The angle θ in a standard position whose terminal side lies in the third quadrant, such that \$ tanθ = 1/3 \$.calculate sinθ. $4$	A) \$ -1/\sqrt(10) \$ B) \$ -4/\sqrt(10) \$ C) \$ -7/\sqrt(10) \$ D) \$ -8/\sqrt(10) \$
5	Based on the figure, which of the following is true? $5$	A) cos 22.6 = \$12/13\$ B) cos 67.4 = \$5/12\$ C) sin 22.6 = \$5/12\$ D) sin 67.4 = \$5/13\$
6	Evaluate sec( 7π/6 ) without using a graphing calculator or a trigonometric table.	A) \$-2\sqrt3/3\$ B) \$-2\sqrt3/6\$ C) \$-3\sqrt3/5\$ D) \$-8\sqrt6/-2\$
7	Given triangle ABC, where angle B is a right angle angle A is 71 degrees, and BC has length 9, find the length of AC rounded to the nearest thousandth. $7$	A) 9.519 B) 12.89 C) 15.147 D) 18.345
8	In a right triangle, if sin y = -0.8, what is the value of cos y?	A) 0.4 B) 0.6 C) 0.75 D) 0.88
9	A person standing at point A observes the top of a tree at point T at an angle of elevation of 60 degrees. If the person walks 25 meters towards the tree to point B and observes the top of the tree at an angle of elevation of 75 degrees, calculate the height of the tree.	A) 34.25 meters B) 38.25 meters C) 43.3 meters D) 59.3 meters
10	A telecommunications tower stands 120 meters above the ground and is secured by guy-wires that are 150 meters long, as shown in the diagram below. Calculate the measure of 𝛼, the angle formed by a guy-wire and the ground, in radians, and report the answer accurate to three decimal places.	A) 0.2 radians B) 0.567 radians C) 0.792 radians D) 0.927 radians

Problem Id

Problem

Options

A high dive platform that towers 100 feet above the ground is secured by 135-foot-long guy-wires, as illustrated below. Calculate the measure of 0, the angle formed by a guy-wire and the ground, in radians, and report the answer accurate to three decimal places.

$1$

A) 0.92

B) 0.83

C) 0.77

D) 0.65

Find the value of csc(θ), and cot(θ) using the image.

$2$

A) \$ csc(θ) = 12/5 \$, \$ cot(θ) = 5/12 \$

B) \$ csc(θ) = 13/5 \$, \$ cot(θ) = 13/12 \$

C) \$ csc(θ) = 13/5 \$, \$ cot(θ) = 5/12 \$

D) \$ csc(θ) = 5/13 \$, \$ cot(θ) = 5/12 \$

Find the exact value of sin(2θ) if \$ sin(θ) = 3/5 \$ and θ is in the first quadrant.

A) \$ 23/27 \$

B) \$ 24/29 \$

C) \$ 21/28 \$

D) \$ 24/25 \$

The angle θ in a standard position whose terminal side lies in the third quadrant, such that \$ tanθ = 1/3 \$.calculate sinθ.

$4$

A) \$ -1/\sqrt(10) \$

B) \$ -4/\sqrt(10) \$

C) \$ -7/\sqrt(10) \$

D) \$ -8/\sqrt(10) \$

Based on the figure, which of the following is true?

$5$

A) cos 22.6 = \$12/13\$

B) cos 67.4 = \$5/12\$

C) sin 22.6 = \$5/12\$

D) sin 67.4 = \$5/13\$

Evaluate sec( 7π/6 ) without using a graphing calculator or a trigonometric table.

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

B) \$-2\sqrt3/6\$

C) \$-3\sqrt3/5\$

D) \$-8\sqrt6/-2\$

Given triangle ABC, where angle B is a right angle angle A is 71 degrees, and BC has length 9, find the length of AC rounded to the nearest thousandth.

$7$

A) 9.519

B) 12.89

C) 15.147

D) 18.345

In a right triangle, if sin y = -0.8, what is the value of cos y?

A) 0.4

B) 0.6

C) 0.75

D) 0.88

A person standing at point A observes the top of a tree at point T at an angle of elevation of 60 degrees. If the person walks 25 meters towards the tree to point B and observes the top of the tree at an angle of elevation of 75 degrees, calculate the height of the tree.

A) 34.25 meters

B) 38.25 meters

C) 43.3 meters

D) 59.3 meters

A telecommunications tower stands 120 meters above the ground and is secured by guy-wires that are 150 meters long, as shown in the diagram below. Calculate the measure of 𝛼, the angle formed by a guy-wire and the ground, in radians, and report the answer accurate to three decimal places.

A) 0.2 radians

B) 0.567 radians

C) 0.792 radians

D) 0.927 radians