Question

In ΔHIJ, the measure of ∠J=90°, JI = 48, IH = 73, and HJ = 55. What is the value of the tangent of ∠H to the nearest hundredth

Answer 1

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;

$Tan \ H = \frac{Opposite \ side}{Adjacent \ side} = \frac{JI}{HJ} \\\\Tan \ H =\frac{48}{55} \\\\Tan \ H = 0.8727\\\\H = Tan^{-1} (0.8727)\\\\H = 41.111^o\\\\H = 41.11^o (nearest \ hundredth)$

Therefore, the value of the tangent of ∠H to the nearest hundredth is 41.11⁰