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Quiz At Home

Title: Trigonometry function ( sine, cosine, tangent)

Grade Lesson s5-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

Id	Name	Note
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.	A) 0.92 B) 0.65 C) 0.77 D) 0.83
2	Find the value of csc(θ), and cot(θ) using the image.	A) \$ csc(θ) = 12/5 \$, \$ cot(θ) = 5/12 \$ B) \$ csc(θ) = 13/5 \$, \$ cot(θ) = 5/12 \$ C) \$ csc(θ) = 13/5 \$, \$ cot(θ) = 13/12 \$ 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) \$ 24/25 \$ D) \$ 21/28 \$
4	The angle θ in a standard position whose terminal side lies in the third quadrant, such that \$ tanθ = 1/3 \$.calculate sinθ.	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?	A) cos (67.4) = \$5/12\$ B) cos (22.6) = \$12/13\$ 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.	A) 18 B) 13 C) 15 D) 10
8	In a right triangle, if sin y = -0.8, what is the value of cos y?	A) 0.4 B) 0.75 C) 0.6 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) 43.3 meters C) 38.25 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

Name

Note

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.

A) 0.92

B) 0.65

C) 0.77

D) 0.83

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

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

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

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

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) \$ 24/25 \$

D) \$ 21/28 \$

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

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?

A) cos (67.4) = \$5/12\$

B) cos (22.6) = \$12/13\$

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.

A) 18

B) 13

C) 15

D) 10

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

A) 0.4

B) 0.75

C) 0.6

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) 43.3 meters

C) 38.25 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