Question

What is the value of tan(alpha), if CH=3, BH=6.4

Answer 1

Answer:

• 6.4 / 3 or 2.13

Step-by-step explanation:

• tangent = opposite / adjacent
• tan α = CH/AH

The triangles ACH and CBH are similar by AA.

According to similarity we have same ratio of corresponding sides:

• CH/AH = BH/CH

So the value of the tan α is:

• tan α = BH/CH = 6.4 / 3 ≈ 2.13

Answer 2

$\\ \tt\longmapsto CH^2=AH(BH)$

$\\ \tt\longmapsto 9=6.4AH$

$\\ \tt\longmapsto AH=1.4$

So

$\\ \tt\longmapsto tan\alpha=CH/AH$

$\\ \tt\longmapsto tan\alpha =\dfrac{3}{1.4}$

$\\ \tt\longmapsto tan\alpha=2.14$