TRIGONOMETRY

A 12 meter ladder lean on the wall of a house and the angle between the ladder and the ground is 60⁰ . The height of the wall is ... m

• $6\sqrt{2}$

• $6\sqrt{3}$

• $6\sqrt{6}$

• $12\sqrt{3}$

• $12\sqrt{6}$

Tags

CCSS.HSG.SRT.C.8

From point A, Andre observe an antenna with 30⁰ angle of elevation. Then, Andre move 12 m closer to the antenna and stop at the point B. From point B he could see the antenna with 45⁰ angle of elevation. The height of the antenna is... m

• $6\sqrt{3}+6$

• $3\sqrt{3}+2$

• $\sqrt{3}+2$

• $6\sqrt{3}-6$

• $3\sqrt{3}-2$

Tags

CCSS.HSG.SRT.C.8

  In  $\Delta ABC$  , perpendicular at B. Point D lies on BC such that  $\angle ADB=45^0$  , if  $\angle ACB=30^0$   and AD =  $5\sqrt{2}$    m, then AC = ... m

• 10

• 11

• 12

• 20

• 25

Tags

CCSS.HSG.CO.C.9

In a triangle ABC, BC = 2 cm, AC =  $3\sqrt{2}$  cm and  $\angle BCA=45^0$  . The length of AB = ... cm

•  $4\sqrt{7}$  

•  $3\sqrt{7}$  

•  $3\sqrt{2}$  

•  $\sqrt{10}$  

•  $10$  

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

A hexagon was drawn Inside a circle whose radius is 10 cm. The area of hexagon is ... cm²

• $25\sqrt{2}$

• $25\sqrt{3}$

• $50\sqrt{3}$

• $150\sqrt{2}$

• $150\sqrt{3}$

Tags

CCSS.6.G.A.1

In a triangle ABC, the length of BC = 7 cm, AC = 6 cm and AB = 5 cm. The value of sin A =

• $\frac{5}{12}\sqrt{6}$

• $\frac{2}{5}\sqrt{6}$

• $\frac{\sqrt{6}}{13}$

• $\frac{\sqrt{6}}{12}$

• $\frac{\sqrt{6}}{15}$

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

 In a triangle ABC, AC = 15 m and AB = 10 m. If  $\angle B=30^0$  then the value of cos C = ...

•  $\frac{1}{3}$  

•  $\frac{\sqrt{7}}{4}$  

•  $\frac{3}{4}$  

•  $\frac{\sqrt{6}}{3}$  

•  $\frac{2\sqrt{2}}{3}$  

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

 $\frac{\sin\ 300^0\ \tan\ 330^0\ \sec\ 420^0}{\cot\ 315^0\ \cos\ 210^0\csc\ 315^0}=...$  

•  $-\frac{\sqrt{3}}{2}$  

•  $-\sqrt{\frac{2}{3}}$  

• 0

•  $\sqrt{\frac{2}{3}}$  

•  $\frac{\sqrt{3}}{2}$  

If  $\sin\ \alpha=-\frac{12}{13}\ and\ \pi<\alpha<\frac{3\pi}{2}$  then the value of  $\sec\ \alpha\ =$  

•  $-\ \frac{13}{5}$  

•  $-\ \frac{12}{5}$  

•  $-\ \frac{5}{12}$  

•  $\frac{12}{5}$  

•  $\frac{13}{5}$  

Tags

CCSS.HSF.TF.C.8

Cartesian coordinate of point A  $\left(2\sqrt{3},\ -120^0\right)$  is ...

•  $\left(3,\ \sqrt{3}\right)$  

•  $\left(-3,\sqrt{3}\right)$  

•  $\left(-\sqrt{3},-3\right)$  

•  $\left(-3,-\sqrt{3}\right)$  

•  $\left(\sqrt{3},-3\right)$  

Tags

CCSS.HSN.CN.B.4