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What is the value of x in this triangle?

Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth. 5, 20, x

What is the value of x in this triangle? Enter your answer as a decimal in the box-example-1
User Paresh
by
8.1k points

2 Answers

5 votes

Answer:

x = 14.04° (nearest hundredth)

Explanation:

Use the tan trig ratio:


\mathsf{\tan(\theta)=(O)/(A)}

where:


  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle

Given:


  • \theta=x
  • O = 5
  • A = 20


\implies \mathsf{\tan(x)=(5)/(20)}


\implies \mathsf{x=\arctan\left((5)/(20)\right)}


\implies \mathsf{x=14.04\textdegree \ (nearest \ hundredth)}

User Quispie
by
8.1k points
5 votes

Answer:


\sf x= 14.04^(\circ \:)

using tan rule:


\sf tan(x)= (opposite)/(adjacent)

solve:


\rightarrow \sf tan(x)= (5)/(20)


\rightarrow \sf x= tan^(-1)((5)/(20))


\rightarrow \sf x= 14.04^(\circ \:)

User Red Mercury
by
7.7k points

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