3. What is the area of the triangle shown below? [= 25 m 140° a =40 m B
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we are given the following triangles:
We are asked to determine the value of "y". To do that we will use the tangent of 25:
We solve for "y" by multiplying both sides by "x":
Now, we take the tangent of 15:
Now, we solve for "y" by multiplying both sides by the denominator:
Now, we set both values of "y" equal, we get:
now, we solve for "x". First, we apply the distributive property on the right side:
Now, we substract
