Answer:
The value of the tangent of ∠H to the nearest hundredth is 41.11⁰
Step-by-step explanation:
Given;
∠J=90°
JI = 48
IH = 73
HJ = 55
If we sketch this triangle, we will observe that ΔHIJ is a right angled triangle, with hypotenuse as "IH", opposite as "JI" and adjacent as "HJ".
To determine the value of the tangent of ∠H, we apply the following formula;
[tex]Tan \ H = \frac{Opposite \ side}{Adjacent \ side} = \frac{JI}{HJ} \\\\Tan \ H =\frac{48}{55} \\\\Tan \ H = 0.8727\\\\H = Tan^{-1} (0.8727)\\\\H = 41.111^o\\\\H = 41.11^o (nearest \ hundredth)[/tex]
Therefore, the value of the tangent of ∠H to the nearest hundredth is 41.11⁰
