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igomit [66]
4 years ago
11

Please help me with this question, will mark brainliest if correct, PLEASE HURRY, no links or you'll be reported :)

Mathematics
1 answer:
Furkat [3]4 years ago
8 0

Answer:

<u>Given</u>

  • ΔTQR is right
  • QS is altitude
  • ΔRSQ and ΔTSQ also right
  • m∠TQS = 42°, RS = 26 cm

∠RQS and ∠TQS are complementary with ∠TQS, so are 48°

a)

  • ∠QRS is the another one with 42°

b)

<u>Find QS first</u>

  • 26/QS = tan 48°
  • QS = 26 / tan 48° = 23.4

<u>Find QT next</u>

  • QS/QT = cos 42°
  • QT = QS / cos 42° = 23.4 / cos 42° = 31.5 (rounded)
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