For #1 you have one leg of a right triangle measuring 4000 (the height of the mountain) and the other leg is 3000 (the distance that Mario is from Jenna). The angle of elevation is the one on the base of the triangle across from the right angle. To find the measure of the angle, use the tangent ratio: tan(A)=4000/3000, which could be simplified to tanA = 4/3. Do that on your calculator using the inverse tangent function to get that the angle of elevation from Mario to Jenna is 53 degrees.
For #2 you have another right triangle situation where the length of the hypotenuse is 20 and the base leg is 10. You are finding again the base angle across from the right angle. Use the cosA=10/20, aka cosA=.5. Again use the inverse cos function on your calculator to find the angle in question is 60 degrees.
When figures are congruent, they have the same shape and size. All measures of one of the figures are identical to the corresponding measures of the other.
Of these statements, the following must be true ...
- B. The corresponding sides of the triangles are congruent
- C. The corresponding angles of the triangles are congruent
- D. The triangles have the same shape and size
A=10ft because A is 8ft so round that to the nearest ten your answer is 10ft
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an activity or purpose natural to or intended for a person or thing.
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