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West.

tan theta = opposite/adjacent

you have opposite, 90 feet, you want adjacent ( degree mode)

tan 34 degrees = 90 feet/adj.

adjacent = 90 feet/tan 34 degrees

= 133.4 feet

------------------------same for east

tan 58 degrees = 90 feet/adj.

adjacent = 90 feet/tan 58 degrees

= 56.2 feet

-------------------

133.4 feet + 56.2 feet

= 190 feet is the distance 2 deer are apart

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Q: Hunter in a tree 90 ft above the ground see 2 deer. 1 is due west at at angle of depression 34 degrees and other due east at angle depression 58 degrees how far part to nearest whole number are they?
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