text: # Trigonometry
  
  Are you preparing for campus placements,Banking,SSC, IAS, Insurance,Defence and other competitive exams? Then, make sure to take some time in practicing the Trigonometry questions and answer in Quantitative Aptitude. Moreover, only those questions are included that are relevant and likely to be asked in any competitive exam. So, take these questions and answer, brush up your skills and practice to stay fully prepared for any your exam.
  
  • Q29.The angles of depression of two ships from the top of the light house are 60° and 30° towards the west. If the ships are 100m apart, then find the height of the light house.
  
  • Q30.There are two vertical posts, one on each side of a road, just opposite to each other. One post is 72m high. From the top of this post, the angles of depression of the top and foot of the other post are 60° and 30°, respectively. Find the height of the other post in metres.
  
  • Q31.If $\mathrm{sec}29°=x,$ then find the value of:
  
  • Q32.Simplify:
  
  • Q33.$\begin{array}{l}Evaluate\\ \frac{\mathrm{sin}{46}^{0}}{\mathrm{cos}{44}^{0}}-\frac{\mathrm{sin}{44}^{0}}{\mathrm{cos}{46}^{0}}\end{array}$
  
  • Q34.$\begin{array}{l}Evaluate:\\ \frac{\mathrm{cos}{70}^{0}}{\mathrm{sin}{20}^{0}}+\mathrm{cos}{69}^{0}\text{cosec2}{1}^{0}\end{array}$
  • Q35.$\begin{array}{l}Evaluate:\\ \mathrm{cot}{22}^{0}\mathrm{cot}{48}^{0}\mathrm{cot}{42}^{0}\mathrm{cot}{60}^{0}\mathrm{cot}{68}^{0}\end{array}$
explanation: The document is a collection of trigonometry questions designed for practice in competitive exams. It includes multiple questions without answers provided.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Trigonometry
  
  Are you preparing for campus placements,Banking,SSC, IAS, Insurance,Defence and other competitive exams? Then, make sure to take some time in practicing the Trigonometry questions and answer in Quantitative Aptitude. Moreover, only those questions are included that are relevant and likely to be asked in any competitive exam. So, take these questions and answer, brush up your skills and practice to stay fully prepared for any your exam.
  
  • Q29.The angles of depression of two ships from the top of the light house are 60° and 30° towards the west. If the ships are 100m apart, then find the height of the light house.
  
  • Q30.There are two vertical posts, one on each side of a road, just opposite to each other. One post is 72m high. From the top of this post, the angles of depression of the top and foot of the other post are 60° and 30°, respectively. Find the height of the other post in metres.
  
  • Q31.If $\mathrm{sec}29°=x,$ then find the value of:
  
  • Q32.Simplify:
  
  • Q33.$\begin{array}{l}Evaluate\\ \frac{\mathrm{sin}{46}^{0}}{\mathrm{cos}{44}^{0}}-\frac{\mathrm{sin}{44}^{0}}{\mathrm{cos}{46}^{0}}\end{array}$
  
  • Q34.$\begin{array}{l}Evaluate:\\ \frac{\mathrm{cos}{70}^{0}}{\mathrm{sin}{20}^{0}}+\mathrm{cos}{69}^{0}\text{cosec2}{1}^{0}\end{array}$
  • Q35.$\begin{array}{l}Evaluate:\\ \mathrm{cot}{22}^{0}\mathrm{cot}{48}^{0}\mathrm{cot}{42}^{0}\mathrm{cot}{60}^{0}\mathrm{cot}{68}^{0}\end{array}$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a collection of trigonometry questions designed for practice in competitive exams. It includes multiple questions without answers provided.
  
  Label: multiple-question