Please help with this question!! I need serious help!!
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option 24 ft , 62° is closet option among given options
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Please help with this question!! I need serious help!!
Height of tree = H ft
Tan 47° = H/20
=> 1.07 = H/20
=> H = 21.44 ft
or
H² = 29² - 20²
=> H² = 49 * 9
=> H = 7 * 3
=> H = 21 ft
it means Tree is not straight
let call point C as top of Tree
BC² = 29² + 30² - 2(29)(30)Cos47°
=> BC² = 841 + 900 - 1740(0.682)
=> BC² = 1741 - 1186.68
=> BC² = 554.32
=> BC = 23.54 ft ≅ 24 ft
AC² = AB² + BC² - 2(AB)(BC)CosB
29² = 30² + 554.32 - 2(30)(23.54)CosB
=> 841 = 900 + 554.32 - 1412.4CosB
=> CosB = 613.32/1412.4
=> CosB = 0.434
=> B = 64° ≅ 62°
option 24 ft , 62° is closet option among given options
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