The tangent ratio is tan(38°) = opposite/adjacent = (height of cliff)/(distance to base) Multiplying the equation by the denominator gives height of cliff = (80 ft)*tan(38°) ≈ 62.5 ft
Using P(A∪B) = P(A) + P (B) - P(A∩B) If we apply this in the question Then P(S∪T) = P(S) + P(T) - P (S∩T) = 6/11 + 1/10 - P (S∩T) = 71/110 - P (S∩T) But events S and T are mutually exclusive events therefore, P(S∩T) = 0, Hence P(S∪T) = 71/110
