Question

I really need help i dont understand geometry please answer both

Answer 1

see explanation

Explanation:

Using the tangent ratio in the right triangle.

tan35° =
`(opposite)/(adjacent)` =
`(opp)/(100)` ( multiply both sides by 100 )

100 × tan35° = opp , that is

opp ≈ 100 × 0.7002 = 70.02

Thus height of tree = 70.02 + 5 = 75.02 ft

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Using the tangent ratio in the right triangle on the right.

tan40° =
`(opposite)/(adjacent)` =
`(25.17)/(rope)` ( multiply both sides by rope )

rope × tan40° = 25.17 ( divide both sides by tan40° )

rope =
`(25.17)/(tan40)` =
`(25.17)/(0.839)` = 30 ft