Podcast
Questions and Answers
In ∠ DEF, which of the following angles is the vertex angle?
In ∠ DEF, which of the following angles is the vertex angle?
- ∠F
- There is no vertex angle
- ∠E (correct)
- ∠D
What best describes the angles ∠X and ∠Y if ∠X = 95⁰ and ∠Y = 85⁰?
What best describes the angles ∠X and ∠Y if ∠X = 95⁰ and ∠Y = 85⁰?
supplementary
If ∠A and ∠B are complementary angles and ∠A = 42⁰, how many degrees is ∠B?
If ∠A and ∠B are complementary angles and ∠A = 42⁰, how many degrees is ∠B?
48⁰
Which of the following describes ∠C if ∠C = 120⁰?
Which of the following describes ∠C if ∠C = 120⁰?
In triangle ABC, if ∠A = 40⁰ and ∠B = 80⁰, what is the value of ∠C?
In triangle ABC, if ∠A = 40⁰ and ∠B = 80⁰, what is the value of ∠C?
Which conversion factor is used to convert degrees into radians?
Which conversion factor is used to convert degrees into radians?
Find the other acute angle of a right triangle if one of the acute angles is 65⁰.
Find the other acute angle of a right triangle if one of the acute angles is 65⁰.
If cos ∅ = ³/₇, find the degree measure of ∅ to two decimal places.
If cos ∅ = ³/₇, find the degree measure of ∅ to two decimal places.
Find the value of sin 40⁰ to three decimal places.
Find the value of sin 40⁰ to three decimal places.
Find sin ∅ given that cos ∅ = ⁴/₅.
Find sin ∅ given that cos ∅ = ⁴/₅.
Write the trigonometric formula for finding tan ∅ in terms of opposite (opp), adjacent (adj), and hypotenuse (hyp).
Write the trigonometric formula for finding tan ∅ in terms of opposite (opp), adjacent (adj), and hypotenuse (hyp).
Identify triangle ABC and triangle EFG as similar or not similar.
Identify triangle ABC and triangle EFG as similar or not similar.
If triangle XYZ is similar to triangle PMN, what is the value of ∠Y when ∠M = 50⁰?
If triangle XYZ is similar to triangle PMN, what is the value of ∠Y when ∠M = 50⁰?
If triangle XYZ is similar to triangle PMN, which side of triangle PMN corresponds to side x?
If triangle XYZ is similar to triangle PMN, which side of triangle PMN corresponds to side x?
If triangle XYZ is similar to triangle PMN and side x= 7, side y = 5, and side m = 12.5, what is the length of side p?
If triangle XYZ is similar to triangle PMN and side x= 7, side y = 5, and side m = 12.5, what is the length of side p?
Find the exact value of sin ∅.
Find the exact value of sin ∅.
Find the exact value of cos ∅.
Find the exact value of cos ∅.
Find the exact value of tan ∅.
Find the exact value of tan ∅.
Convert 60⁰ to radians.
Convert 60⁰ to radians.
Convert ³π/₂ to degrees.
Convert ³π/₂ to degrees.
The base of a 10-foot ladder is placed 3 feet away from the wall of a building. How high does the ladder go up the wall?
The base of a 10-foot ladder is placed 3 feet away from the wall of a building. How high does the ladder go up the wall?
An airplane takes off from a runway at an angle of 15⁰. A fence is 50 feet from the location where the plane took off from the runway. What is the altitude of the airplane when it passes over the fence?
An airplane takes off from a runway at an angle of 15⁰. A fence is 50 feet from the location where the plane took off from the runway. What is the altitude of the airplane when it passes over the fence?
If a carpenter removes a slanted wall containing a fireplace to make a corner and put up new drywall that is 6 feet long on one corner wall and 8 feet long on the other corner wall, how long was the original slanting wall containing the fireplace?
If a carpenter removes a slanted wall containing a fireplace to make a corner and put up new drywall that is 6 feet long on one corner wall and 8 feet long on the other corner wall, how long was the original slanting wall containing the fireplace?
Lily is sitting 40 feet away from a beautiful waterfall that is 1,000 feet high. What is the angle of inclination from Lily's location to the top of the waterfall?
Lily is sitting 40 feet away from a beautiful waterfall that is 1,000 feet high. What is the angle of inclination from Lily's location to the top of the waterfall?
Flashcards
Vertex Angle
Vertex Angle
The angle formed by the two sides of a triangle, opposite the base.
Supplementary angles
Supplementary angles
Two angles whose measures add up to 180 degrees.
∠B if ∠A = 42⁰ and ∠A and ∠B are complementary
∠B if ∠A = 42⁰ and ∠A and ∠B are complementary
48 degrees. Complementary angles add up to 90 degrees, so 90 - 42 = 48.
Obtuse Angle
Obtuse Angle
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Value of ∠C in triangle ABC if ∠A = 40⁰ and ∠B = 80⁰
Value of ∠C in triangle ABC if ∠A = 40⁰ and ∠B = 80⁰
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Degrees to Radians Conversion factor
Degrees to Radians Conversion factor
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Acute angle of a right triangle if one angle is 65⁰
Acute angle of a right triangle if one angle is 65⁰
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Degree of ∅ if cos ∅ = ³/₇
Degree of ∅ if cos ∅ = ³/₇
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Value of sin 40⁰
Value of sin 40⁰
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sin ∅ given cos ∅ = ⁴/₅
sin ∅ given cos ∅ = ⁴/₅
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Formula for tan ∅
Formula for tan ∅
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Similar or not similar triangles
Similar or not similar triangles
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Value of ∠Y if triangle XYZ ~ triangle PMN and ∠M = 50⁰
Value of ∠Y if triangle XYZ ~ triangle PMN and ∠M = 50⁰
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Side corresponds to x in triangle PMN if triangle XYZ ~ triangle PMN.
Side corresponds to x in triangle PMN if triangle XYZ ~ triangle PMN.
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Length of side p if triangle XYZ ~ triangle PMN, side x=7, side y=5, side m=12.5
Length of side p if triangle XYZ ~ triangle PMN, side x=7, side y=5, side m=12.5
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Exact value of sin ∅
Exact value of sin ∅
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Exact value of cos ∅
Exact value of cos ∅
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Exact value of tan ∅
Exact value of tan ∅
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60⁰ in radians
60⁰ in radians
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³π/₂ in degrees
³π/₂ in degrees
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