Question

Given the triangle GHI shown below, find the measures of ∠G and ∠H, each to three significant figures.

Answer 1

x= 59.6 degrees

y = 30.4 degrees

Step-by-step explanation:

To get the value of x and y, we will be using the SOH CAH TOA identity

Considering angle x;

Opposite side = 46

Adjacent = 27

Tan theta = opp/adj

tan x = 46/27

tan x = 1.704

x = arctan(1.704)

x= 59.6 degrees

To get angle y;

opposite side = 27

Adjacent = 46

tan y = 27/46

tan y = 0.5869

y = arctan(0.5869)

y = 30.4 degrees