A video game store made a display of game console boxes show at the right. the length, width and high of each game console box i
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The distance from the kayak to the mountain to the nearest whole number is 43 meters.
The situation will form a right angle triangle as shown below in the diagram.
<h3>Properties of a right angle triangle:</h3>- One of its angle is 90 degrees.
- The sides and angle can be found by using trigonometric ratios.
The height(opposite side) of the triangle is the kayak distance from the mountain to the lake below. The distance from the kayak to the mountain is the adjacent side of the triangle.
Therefore, using trigonometric ratios,
tan 35 = opposite / adjacent
tan 35° = 30 / a
a = 30 / tan 35°
a = 30 / 0.70020753821
a = 42.8444402023
a = 42.84 meters
a ≈ 43 meters
learn more on the angle of depression: brainly.com/question/13969247?referrer=searchResults
Answer:
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Work Shown:
Apply the following trig identity
Now let's rationalize the denominator
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As confirmation, you can use the idea that if x = y, then x-y = 0. We'll have x = tan(165) and y = -2+sqrt(3). When computing x-y, your calculator should get fairly close to 0, if not get 0 itself.
Or you can note how
which helps us see that they are the same thing.
Further confirmation comes from WolframAlpha (see attached image). They decided to write the answer as but it's the same as above.
