Free Printable Trigonometric Ratio

1.

What is the name of opposite side to right angled in right triangle?

a)

Hypotenuse

b)

Opposite

c)

Adjacent

d)

Isosceles

2.

Express angle of $45\degree$ and $60\degree$ into $\pi\ rad$ unit!

a)

$\frac{1}{4}πrad\ and\ \frac{1}{3}π\ rad$

b)

$\frac{1}{4}πrad\ and\ \frac{5}{6}π\ rad$

c)

$\frac{1}{2}πrad\ and\ \frac{2}{3}π\ rad$

d)

$\frac{1}{4}πrad\ and\ \frac{1}{6}π\ rad$

3.

Find the value of $\cos⁡θ$ in point $A(5,12)!$ (where $\theta$ is angle that formed from OA and positive x axis)

a)

$\frac{12}{13}$

b)

$\frac{5}{13}$

c)

$\frac{5}{12}$

d)

$\frac{13}{12}$

4.

Value of $\sin⁡〖0°〗=⋯.$

a)

1

b)

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

c)

$\frac{1}{2}$

d)

0

5.

Given isosceles triangle ABC, $∠C=60°$ , AB = 6 cm . DC as altitude of triangle ABC. Find the length of DC!

a)

$\sqrt{3}\ \ cm$

b)

$3\sqrt{3}\ \ cm$

c)

$2\sqrt{3}\ \ cm$

d)

6 cm

6.

Known $\tan⁡β=\frac{a}{b}$ . So that, the value of $\sec\ \beta$ =..

a)

$\frac{\sqrt{a^2+b^2}}{b}$

b)

$\frac{\sqrt{a^2+b^2}}{a}$

c)

$\frac{a}{\sqrt{a^2+b^2}}$

d)

$\frac{b}{\sqrt{a^2+b^2}}$

7.

Express $\frac{7}{6}\pi\ rad$ into degrees!

a)

$420\degree$

b)

$210\degree$

c)

$100\degree$

d)

$240\degree$

8.

What angle will a 6 m ladder makes with the floor if in the floor the distance between ladder and wall is $3\sqrt{3}$ m?

a)

$30\degree$

b)

$60\degree$

c)

$45\degree$

d)

$90\degree$

9.

Horangkaya is flying vertically with his helicopter 10 m above ground level. In that height, he sees his dog fainted lying down on the ground, the depression angle that formed from Horangkaya to the dog is $60\degree$ . If Horangkaya landed to the point that he starts to fly before, find the distance between Horangkaya and the dog?

a)

5 m

b)

20 m

c)

$\frac{10}{3}\sqrt{3}\ \ m$

d)

$10\sqrt{3}\ \ m$

10.

$(\sin⁡A+\cos⁡A)^2$ is equivalent to…

a)

1

b)

$2\sin⁡A\cos⁡A$

c)

$1+2\sin⁡A\cos⁡A$

d)

4

11.

Given $\tan⁡A=\frac{1}{2}$ and $\sin⁡B=\frac{3}{5}$ . The value of : $2\cot⁡A.\sec⁡B+3\left(\frac{\csc⁡B}{\csc⁡A}\right)=⋯$

a)

$2.5+25√5$

b)

$5+√5$

c)

$3+3√5$

d)

$5+5√5$

12.

Choose the right statement!

a)

$\csc⁡A=\frac{1}{\sin⁡C}$

b)

$\tan⁡A=\frac{1}{\cos\ A}$

c)

$\sec⁡C=\frac{1}{\cos\ C}$

d)

$\cot⁡A=-\tan⁡A$

13.

The value of $\cot\ 90\degree$ is ...

a)

0

b)

undefined

c)

$\sqrt{3}$

d)

1

14.

Given the right-angled triangle ABC with right angled at B. ∠C= $\frac{\pi}{3}$ . the adjacent side of angle C is 10 m. Find the length of hypotenuse!

a)

$10\sqrt{3}\ m$

b)

$\frac{10}{3}\sqrt{3}\ m$

c)

20 m

d)

$\frac{20}{3}\sqrt{3}m$

15.

upward angle from a horizontal line and always inside triangle. That statement is to show the meaning of…

a)

acute angle

b)

depression angle

c)

elevation angle

d)

obtuse angle

16.

For any angle, the sum of depression angle and elevation angle must be…

a)

$90\degree$

b)

$180\degree$

c)

$360\degree$

d)

can't make a general conclusion

17.

$\sin^2⁡〖30^°〗+\sin^2⁡〖45^°〗+\sin^2⁡〖60^°〗=⋯$

a)

$\frac{3}{2}$

b)

$\frac{3}{4}$

c)

1

d)

$\frac{1}{2}$

18.

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 30^o. How tall is the enemy castle wall?

a)

$750\sqrt{3}\ m$

b)

$500\sqrt{3\ }m$

c)

$1000\sqrt{3}m$

d)

$1500\ m$

19.

Which scenario describes the picture shown?

a)

A 5 ft ladder is 8 ft away from a wall. What is the angle that the ladder makes with the wall?

b)

An 8 ft ladder leans against a wall 5 ft away. What angle does the ladder makes with the floor?

c)

A 5 ft ladder leans against an 8 ft structure. What is the angle that the ladder makes with the floor?

d)

A 5 ft man is 8 ft away from a wall. What is the angle of elevation?

20.

If $\theta=\frac{\pi}{6}$ , the value of m and n are...

a)

$\frac{5}{2}\sqrt{3}\ \ and\ \ \frac{5}{2}$

b)

$\frac{5}{2}\sqrt{2}\ \ and\ \ \frac{5}{2}$

c)

$\frac{5}{2}\ \ and\ \ \frac{5}{2}\sqrt{3}$

d)

$\frac{5}{2}\sqrt{3}\ \ and\ \ 1$

Trigonometric Ratio

Total questions: 20

Worksheet time: 40mins

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