Question

Hi, can you help me to solve this exercise, please!!

Answer 1

Question:

Solution:

Step 1: Find the missing interior angle x:

`23+x+90\text{ = 180}`

this is equivalent to:

`113+x\text{ = 180}`

solving for x, we obtain:

`x\text{ = 180-113= 67}`

Thus, we obtain the following right-triangle:

Step 2: Apply the proper trigonometric identity:

`\cos (67)=\frac{adjacent\text{ side}}{hypotenuse}=(IJ)/(7.6)`

that is:

`\cos (67)=(IJ)/(7.6)`

solving for IJ, we obtain:

`IJ\text{ = 7.6cos(67) = 2.9}\approx3`

so that, we can conclude that the correct answer (approximate to the nearest tenth) is:

`IJ\text{ = 3}`