Multiple choice

Directions: The question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the statements are sufficient to answer the question. Using the data, mark your answer as What is the distance between the two ships? I. Seen from the top of a mountain, their angles of depression are 60o and 30o. II. Height of the mountain is 60 metres.

  1. if statement I alone is sufficient to answer the question

  2. if statement II alone is sufficient to answer the question

  3. if both statements I and II are sufficient to answer the question, but neither statement alone is sufficient

  4. if both statements I and II together are not sufficient to answer the question and additional data is required
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

To calculate the distance between the ships, you need both the angles of depression and the height of the mountain. Statement I provides the angles of 60 degrees and 30 degrees, but without the mountain's height, the distances cannot be determined. Statement II provides the height of 60 metres, but without the angles, the distances to the ships remain unknown. Using both statements, you can use the tangent function to find the horizontal distance of each ship from the mountain's base, so both statements together are sufficient to answer the question.

Keep practicing — related questions