Joseph leans a 20-foot ladder against a wall so that it forms an angle of 69° with the ground. How high up the wall does the ladder re

Question

Joseph leans a 20-foot ladder against a wall so that it forms an angle of 69° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.

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Ngọc Diệp 4 years 2021-08-26T01:43:44+00:00 1 Answers 31 views 0

Answers ( )

  1. linhdan
    0
    2021-08-26T01:45:22+00:00
    Reply

    Answer:

    18.67 ft

    Step-by-step explanation:

         |\

         |   \

         |      \

    h    |         \     20 ft

         |            \

         |               \

         |–        69°  \

         —|—————-

    For the 69° angle, h is the opposite leg, and 20 ft is the hypotenuse.

    sin A = opp/hyp

    sin 69° = h/20

    h = 20 * sin 69°

    h = 18.67

    Answer: 18.67 ft

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