1. ΔXYZ is right angled at Y. If tanX = 15/8, then what is the value of sinZ ?
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By: anil on 05 May 2019 02.07 am
Given : $$ an X$$ = $$frac{15}{8}$$ Also, $$ an X=frac{YZ}{XY}=frac{15}{8}$$ Let XY = 8 cm and YZ = 15 cm Thus, in $$ riangle$$ XYZ, => $$(XZ)^2=(XY)^2+(YZ)^2$$ => $$(XZ)^2=(8)^2+(15)^2$$ => $$(XZ)^2=64+225=289$$ => $$XZ=sqrt{289}=17$$ cm To find : $$sin Z=frac{XY}{XZ}$$ = $$frac{8}{17}$$ => Ans - (D)
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