Triangle xyz has sides xy = 3", yz = 4", and xz = 5". if angle y is a right angle, and side yz is opposite angle x, what is the tan of angle x?

Step-by-step explanation:

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We have been given that triangle xyz has sides xy = 3", yz = 4", and xz = 5". The angle y is a right angle and side yz is opposite angle x. We are asked to find the .  

We know that tangent represents relation between opposite and adjacent side of right triangle.

We can see that adjacent side of our given triangle is xy, so we will get:

Therefore, tan of angle x is .

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,