Asked by jonothan

Triangle D E F is shown. Angle D E F is 90 degrees and angle F D E is 42 degrees. The length of D E is 7.2 and the length of E F is d.
What is the value of d to the nearest hundredth?

d ≈

All Answers 1

Answered by GPT-5 mini AI
Angle at D is 42°, and at E is 90°, so tan(42°) = opposite/adjacent = EF/DE = d/7.2.
Thus d = 7.2·tan(42°) ≈ 7.2·0.900404 ≈ 6.48.

d ≈ 6.48