5. Patricia is on the edge of the top of a mountain and notices that a kayak on the lake is 30 meters
1 answer:
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
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Here we have , Mrs. Benson has graded 46 math assignments but has 80% of the assignments left to grade.We need to find Mrs. Benson has how many math assignments left to grade. Let's find out:
Let total Number of math assignments be x , So According to question 46 math assignments are graded & 80% are left i.e.
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Now , Assignments left to grade is :
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Therefore , Mrs. Benson has 184 math assignments left to grade.