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The measure up of 3 angle in a triangle room in a 1:2:3 ratio. What is the measure of the middle angle?

A 17 ft ladder is propped against a 15 ft wall. What is the level measurement in between the ladder and also the ground?

Explanation:

Since every the answer options are in trigonometric form, we recognize we have to not necessarily solve for the exact value (although we deserve to do that and also calculate each selection to check out if that matches). The very first step is to identify the length of the ground between the bottom the the ladder and the wall surface via the Pythagorean Theorem: "x2 + 152 = 172"; x = 8. Utilizing trigonometric definitions, we understand that "opposite/adjecent = tan(theta)"; since we have both worths of the political parties (opp = 15 and adj = 8), we can plug into the tangential type tan(theta) = 15/8. However, since we are solving for theta, we must take the *inverse* tangent of the left side, "tan-1". Thus, our last answer is

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### Example question #51 : airplane Geometry

What is the sine of the angle between the base and also the hypotenuse the a appropriate triangle through a base of 4 and a height of 3?

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**Correct answer:**

Explanation:

By rule, this is a 3-4-5 ideal triangle. Sine = (the the opposite leg)/(the hypotenuse). This gives us 3/5.

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### Example concern #3 : exactly how To discover An angle In A ideal Triangle

In a right triangle ABC, the measure up of edge C is greater than 60 degrees. Which of the following statements might describe the steps of angles A and B?

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