AnswersGeometry Concepts and ConnectionsRight Triangle Trigonometry

Right Triangle Trigonometry — Test Answers

25 verified answers1 views
1
Free Preview

What is the length of one leg of the triangle?

A
11 units
B
22 square root of 2 units
C
22 units
D
11 square root of 2 units
2
Free Preview

Given triangle JKL , sine of open paren 38 degrees close paren equals

A
tangent of open paren 38 degrees close paren .
B
cosine of open paren 38 degrees close paren .
C
cosine of open paren 52 degrees close paren .
D
tangent of open paren 52 degrees close paren .
3

Which statements are true about triangle QRS ? Choose three correct answers.

A
The hypotenuse is line segment QR .
B
The side adjacent to angle cap q is line segment QS .
C
The side opposite angle cap q is line segment RS .
D
The side adjacent to angle cap r is line segment SQ .
E
The side opposite angle cap r is line segment RQ .
5

What is the measure of angle cap n to the nearest whole degree?

A
55 degrees
B
45 degrees
C
65 degrees
D
35 degrees
6

Which equation can be used to find the measure of angle LJK ?

A
cosine of x is equal to 15 tenths
B
sine of x is equal to 15 tenths
C
sine of x is equal to 10 over 15
D
cosine of x is equal to 10 over 15
10

In which triangle is the value of x equal to tangent inverse of open paren 3 point 1 over 5 point 2 close paren ? (Images may not be drawn to scale.)

A
Image with description A right triangle is shown. The length of 2 sides are 5 point 2 and 3 point 1. The angle opposite to side with length 3 point 1 is labeled as x.
B
Image with description A right triangle is shown. The length of the 2 sides are 5 point 2 and 3 point 1. The angle opposite to the side with length 5 point 2 is labeled as x.
C
Image with description A right triangle is shown. The length of the hypotenuse is 5 point 2 and the length of the side adjacent to the right angle is 3 point 1. The angle opposite to the side with length 3 point 1 is labeled as x.
D
Image with description A right triangle is shown. The length of the hypotenuse is 5 point 2 and the length of the side adjacent to the right angle is 3 point 1. The angle between the 2 sides is labeled as x.
12

Which equation can be used to find the length of line segment AC ? Expand Image

A
the fraction with numerator 10 and denominator mathrm sine open paren 40 raised to the mathrm o power close paren is equal to AC
B
10 times cosine times open paren 40 degrees close paren is equal to AC
C
10 times sine times open paren 40 degrees close paren is equal to AC
D
the fraction with numerator 10 and denominator mathrm cosine open paren 40 raised to the mathrm o power close paren is equal to AC
15

Which measures are accurate regarding triangle JKL ? Choose two correct answers.

A
m angle cap k is equal to 94 degrees
B
k almost equal to 4 point 6 units
C
k almost equal to 3 point 7 units
D
KL almost equal to 3 point 2 units
E
KL almost equal to 2 point 5 units
16

Which equation can be used to solve for angle cap A ?

A
sine of cap A over 2 point 4 is equal to sine of open paren 110 degrees close paren over 4 point 6
B
sine of cap A over 3 point 2 is equal to sine of open paren 110 degrees close paren over 4 point 6
C
sine of cap A over 4 point 6 is equal to sine of open paren 110 degrees close paren over 2 point 4
D
sine of cap A over 4 point 6 is equal to sine of open paren 110 degrees close paren over 3 point 2
17

What are the angle measures of triangle VUW ?

A
m angle cap v is equal to 60 degrees , m angle cap u is equal to 90 degrees , m angle cap w is equal to 30 degrees
B
m angle cap v is equal to 30 degrees , m angle cap u is equal to 90 degrees , m angle cap w is equal to 60 degrees
C
m angle cap v is equal to 90 degrees , m angle cap u is equal to 60 degrees , m angle cap w is equal to 30 degrees
D
m angle cap v is equal to 30 degrees , m angle cap u is equal to 60 degrees , m angle cap w is equal to 90 degrees
19

Once you know the length of line segment YX , find the length of the lower base, line segment ZX

A
18 units
B
14 units
C
10 plus 4 square root of 3 units
D
10 plus 8 square root of 3 units

Did you find these answers helpful?