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Can you help me with number 19? I am confused with it

Can you help me with number 19? I am confused with it-example-1
User Akram
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1 Answer

5 votes

To answer this question, we will use the trigonometric function tangent. Recall that in a right triangle:


\tan \theta=\frac{opposite\text{ leg}}{adjacent\text{ leg}}.

In the given triangle, θ=25°, adjacent leg=x, and opposite leg=10, therefore:


\tan 25^(\circ)=(10)/(x).

Solving the above equation for x, we get:


x=(10)/(tan25^(\circ)).

Simplifying the above result we get:


x\approx21.45.

Answer:


x\approx21.45

User Gintautas
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