a palm tree breaks due to storm and the upper and touches the ground and makes an angle measure 30 with the ground if the top of the tree touches the ground 15 metre away from the bottom find the height of the tree
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Answer:
this answer can be find by using the trigonometric ratios
sinA=opposite side of the A/Hypotenuse
cosA=adjacent side/Hypotenuse
Step-by-step explanation:
let AB be the remaining part of tree
AC the part which touches the ground
distance between top of tree and bottom PART= 15cm
sin30°=BC/AC=1/2
=15/AC=1/2
=AC=30cm
now cos30°=AB/AC=√3/2
=AB/30=√3/2
=AB=15√3cm
now the height of tree=AB+AC
=15√3+30
15(√3+2)cm
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