# Trigonometry Questions - All Grades

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The Trigonometry questions below are in the following grade levels:
Grades: 6 8 9 10 11 College
1 2 3 4
 If 4!= 4*4*4*4, and 6!= 6*6*6*6*6*6, what does 9! equal? 9*9 9*9*9*9*9*9*9*9 9*9*9*9*9*9*9*9*9 9*9*9*9*9*9*9*9*9*9
 Grade 8 :: Trigonometry by LBeth
 The perimeter of equilateral triangle ABC is 42. What is the height of the triangle? 12.1
 Grade 8 :: Trigonometry by LBeth
 If AC = 8 and BC = 6, then what is the length of AB? 10
 Grade 10 :: Trigonometry by jjstanley
 Matt is flying a kite and measures the angle of his string to the ground as 30 degrees.Samantha is also flying a kite using a string which is 150 feet long. Her kite is at an altitude of 75 feet.Are the two triangles formed by Matt's and Samantha's kite strings to the ground similar? Show your work. Yes$sin(30)=75/150$
 Grade 11 :: Trigonometry by LBeth
 Convert the radian measures to degree measures. a) $pi=$b) $pi/3=$c) $(7pi)/4=$d) $2pi=$e) $(2pi)/3=$ a) $180deg$b) $60deg$c) $315deg$d) $360deg$e) $120deg$
 Grade 8 :: Trigonometry by LBeth
 If AB = 5 and BC = 10, then what is the length of AC? 8.7
 Grade 8 :: Trigonometry by LBeth
 If AB = 7 and BC = 12, then what is the length of AC? 9.7
 Grade 10 :: Trigonometry by jjstanley
 This right triangle is 7.5m tall and 10m wide. What is the length of the hypotenuse? 12.5m
 Grade 8 :: Trigonometry by LBeth
 If square ABCD has a perimeter of 20, what is the length of its diagonal? 7.1
 Grade 11 :: Trigonometry by LBeth
 Convert the degree measures to radian measures. a) $45deg =$b) $-60deg=$c) $450deg =$d) $180deg=$e) $-800deg=$ a) $pi/4$ radiansb) $-pi/3$radiansc) $(5pi)/2$ radiansd) $pi$ radianse) $-(40pi)/9$ radians
 Grade 11 :: Trigonometry by LBeth
 Use a calculator to solve for each angle. Round to the nearest degree.a) $sin theta = 0.9063$$theta =$b) $tan theta = 0.9325$$theta =$c) $tan theta = 0.3443$$theta =$d) $cos theta = 0.9925$$theta =$e) $cos theta = 0.8660$$theta =$ a) $65deg$b) $43deg$c) $19deg$d) $7deg$e) $30deg$
 Grade 8 :: Trigonometry by LBeth
 If AB = 8 and AC = 4, then what is the length of BC? 8.9
 Grade 8 :: Trigonometry by LBeth
 If square ABCD has a side length of 6 cm, what is the length of a diagonal? 8.5 cm
 Grade 8 :: Trigonometry by LBeth
 If AB = 26 and BC = 10, then what is the length of AC? 24
 Grade 8 :: Trigonometry by LBeth
 ABCD is a rectangle. Side AB = 6m and Side BC = 8m. What is the length of diagonal AC? 10m
 Grade 11 :: Trigonometry by LBeth
 $tan 38.7deg =$ 0.80
 Grade 11 :: Trigonometry by LBeth
 $tan 26deg =$ 0.49
 Grade 10 :: Trigonometry by Ackerley
 AB = 10BC = 10Angle B is 90 degreesWhat will be the lenght of AC? 14.14
 Grade 10 :: Trigonometry by Ackerley
 AB = 5cmAC = 10cm Angle B = 90 degreesWhat will be the lenght of BC? BC = 11.18
 Grade 11 :: Trigonometry by LBeth
 For triangle ABC, AB = 5, BC = 13, and AC = 12.Find the values for the listed trigonometric functions for the above triangle. Round answers to four decimal places. $sin B =$$cos B =$$tan B =$$sin C =$$cos C =$$tan C =$ $sin B = 0.9231$$cos B = 0.3846$$tan B = 2.4000$$sin C = 0.3846$$cos C = 0.9231$$tan C = 0.4167$
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