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MCQ Trigonometry - Height and Distances

The CAT Online Free Test Prep MCQs Trigonometry - Height and Distances

Trigonometry: Height and Distances

Question:

trica Dup 7 -81660256

If θ equals 55° and h is 15ft, how long is o?

Option A:      13.2 ft
Option B:      11.3 ft
Option C:      8.6 ft
Option D:      Not enough information to solve
Option E:      12.3 ft
  A     B     C     D     E  
Show/Hide Answer and Explanation

Correct Answer: E

Explanation Video

Explanation

This problem can be easily solved using trig identities. We are given the hypotenuse (15ft) and θ(55°). We can then calculate side o using the sin.

trica Dup 8 -63005588

Rearrange to solve for o.

o=sin55° × 15ft

12.3 ft

If you calculated the side to equal 8.6 ft then you utilized the cos function rather than the sin.
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How to Solve Height and Distances

For Height and Distances question first understand the statement and the question stem. Try to solve and click the corresponding answer option. The drop down will appear to show the correct answer and explanation.