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American National Curriculum

Grade 10

Trigonometry

Grade 10 Trigonometry Questions asked by Filo students

Question 1

Use a trigonometric ratio to solve for

d

. Round to two decimal places as necessary. Shov your work here

Topic:

Introduction to Trigonometry

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Question 2

Find TU. Write your answer as an integer or as a decimal rounded to the nearest tenth.

T U =

Topic:

Triangles and Vectors

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Question 3

Algebra 2 - Linear/Quadratic functions Assignment 7A Solve each system by substitution.

y = 2 x - 4 y = 3 x - 7

y = - 6 x + 6 y = - 5 x + 4

Topic:

Graphs of Trigonometric Functions

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Question 4

Algebra 2 - Linear/Quadratic functions Assignment 7A Solve each system by substitution.

y = 2 x - 4 y = 3 x - 7

y = 3 x - 7 (2, - 2 (3) - 4

y = - 6 x + 6

Topic:

Graphs of Trigonometric Functions

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Question 5

7. Rachel is atfempting to find the area of the triangle shown. She remembers the formula

A = \frac{1}{2} bh

. What line should she draw to apply the formula? What is b? What is h? What is the area? Round to the nearest tenth. 8. Two office buildings are

100 ft

apart, as shown. From the edge of the roof of the shorter building, the angle of elevation to the top of the taller building is

2 8^{\circ}

and the angle of depression to the bottom is

4 2^{\circ}

. How tall is each building? Round to the nearest foot. enVision

^{Tu}

Geometry • Teaching Resources

Topic:

Introduction to Trigonometry

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Question 6

Which one of the following is correct?

$tan (- 49 5^{\circ}) < 0$
$sin (- 49 5^{\circ}) > 0$
$tan 49 5^{\circ} > 0$
$sin 49 5^{\circ} > 0$

Topic:

Trigonometric Identities

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Question 7

Let

θ

be an angle in the standard position. For

a \neq = 0

and

b \neq = 0

. let

P (a, b)

be a point that lies on the terminal side of

θ

. If

r

is the distance between point

P

and the origin

O

, then which of the following expression clefines cotangent of

θ

$\frac{b}{a}$
$\frac{r}{a}$
$\frac{a}{b}$
$\frac{r}{b}$

Topic:

Graphs of Trigonometric Functions

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Question 8

MOUNTAIN BIKING On a mountain bike trip along the Gemini Bridges Trail in Moab, Utah, Nabuko stopped on the canyon floor to get a good view of the twin sandstone bridges. Nabuko is standing about 60 meters from the base of the canyon cliff, and the natural arch bridges are about 100 meters up the canyon wall. If her line of sight is 5 meters above the ground, what is the angle of elevation to the top of the bridges? Round to the nearest tenth of a degree.

Topic:

Trigonometric Identities

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Question 9

New Tab gy.com/assignment/6639649593/assessment_view/1949874110 elschoology Sign in - Google Ac.. The Sclentinc Revol... My Submissions

Test/Quiz A.s. Alyssa Avila submission 1 0 Question 1 Triangle

A BC

was dilated to create triangle

A^{'} B^{'} C^{'}

. What is the scale factor?

None of the above
$1/3$
$1/2$
$3/1$
$2/1$

Topic:

Introduction to Trigonometry

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Question 10

Write the equation of the line in fully simplified slope-intercept form.

Topic:

Graphs of Trigonometric Functions

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Question 11

Ans.(1) 46 Find the argument of

\frac{1}{1 + i}

$π$
$\frac{π}{2}$
$\frac{π}{4}$
$\frac{- π}{4}$

Topic:

Polar System

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Question 12

In the triangle above,

sin x = 0.8

and

cos x = 0.6

. What is the area of the triangle?

$0.48$
$4.8$
24
48

Topic:

Trigonometric Identities

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Question 13

In the figure above,

△ A BC

is similar to

△ X Y Z

. What is the value of

cos A

$\frac{1}{2}$
$\frac{3}{2}$
$3$
2

Topic:

Trigonometric Identities

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Question 14

In circle

K

with

m ∠ J K L = 8 4^{\circ}

and

J K = 6

, find the area of sector JKL. Round to the nearest hundredth.

\oplus θ

Answer:

Topic:

Trigonometric Identities

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Question 15

A guy wire to a tower makes a

7 0^{\circ}

angle with level ground. At a point

34 ft

farther from the tower than the wire but on the same side as the base of the wire, the angle of elevation top of the tower is

4 0^{\circ}

. Find the length of the wire (to the nearest foot).

Topic:

Introduction to Trigonometry

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Question 16

10. MS. Lopez frend is driving betwery Denver and mantriten Mansas. Her eall phese an aly use wifi, so if she is out of rage of rifi, she will not have any reception. At sone point she trives, hay, cell phore tower that chits witi. sigrals and has a range of 50 . miles. She then doves 35 miles, then mahos a

10 0^{\circ}

left ton anto another highvof but after 30 miles she sees the most arazing thing slae's ever seen: (see dingrany she stops the cor, si: and takes a selfic. She nonts to send it to MS. Doge will it

g

throvght?

Topic:

Triangles and Vectors

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Question 17

Answer Referring to the Fig shown. [Note: do not ap btain, for example, 45 your final answer.]

Topic:

Triangles and Vectors

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Question 18

Geometry Name O

2023 Kata

sofiware LLC. Al1 rights reserved Volume of a Cone Date Period Find the volume of each figure. Round your answers to the nearest hundredth, if necessary. 1) 3) 5) 2) 4) 6) 8)

Topic:

Introduction to Trigonometry

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Question 19

Name: Date/Hour: Trigonometric Ratios - PW \#2 Find the value of each trigonometric ratio.

$sin A$ cadjecent
$sin C$
$sin C$
$sin C$
$tan X$
$sin Z$

Topic:

Introduction to Trigonometry

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Question 20

What is the domain of

arctan (x)?

Topic:

Graphs of Trigonometric Functions

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Grade 10 Trigonometry Questions asked by Filo students

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