In a right-angled triangle ABC: C = 90, AB = √41 and CA = 5. Find the tangent CAB.
| July 23, 2021 | education
1. ВС = √АВ² – АС² (by the Pythagorean theorem).
ВС = √ (√41) ² – 5² = √41 – 25 = √16 = 4 units.
2. Calculate the tangent ∠CAB.
The tangent ∠CAB is the quotient of dividing the length of the BC leg by the length of the AC leg:
Tangent ∠CAB = BC: AC = 4: 5 = 4/5 = 0.8.
Answer: the tangent ∠CAB is 0.8.
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