Geography: one of the legs of a right triangle measures 6 cm and it’s hypotenuse measures 10 find the measuring of the other leg

one of the legs of a right triangle measures, №12131561, 20.06.2021 21:49

Mathematics

two right triangles with the following dimensions are graphed with their hypotenuses on the same line: triangle x: horizontal leg measures 2 units vertical leg measures 5 units triangle y: horizontal leg measures 7 units vertical leg measures 17.5 units which other triangles could also have their hypotenuse on the same line? choose all answers that are correct. a. horizontal leg measures 8 units, vertical leg measures 10 units b. horizontal leg measures 4 units, vertical leg measures 10 units c. horizontal leg measures 6 units, vertical leg measures

Step-by-step answer

P Answered by Specialist

15

I'm assuming you have or are taking trigonometry because that is how I solved this. First find the angle between the hypotenuse and the horizontal leg. To do this I took the inverse tangent of 5/2 (opposite/adjacent). Notice how I took the inverse tangent of the vertical leg/ horizontal leg. My calculator showed the answer to be about 68 degrees. Because of some angle laws (I'm not sure which ones, just trust me) that angle in each triangle on that line (the one between the horizontal component and the hypotenuse) must all have the same degree measure. Thus, test each answer by finding the inverse tangent of the vertical leg/horizontal leg. If the answer is about 68 degrees, that triangle could be on the line as well.

A. invtan(10/8)≈51
B. invtan(10/4)≈68
C. invtan(15/6)≈68
D. invtan(25/10)≈68

Mathematics

two right triangles with the following dimensions are graphed with their hypotenuses on the same line: triangle x: horizontal leg measures 2 units vertical leg measures 5 units triangle y: horizontal leg measures 7 units vertical leg measures 17.5 units which other triangles could also have their hypotenuse on the same line? choose all answers that are correct. a. horizontal leg measures 8 units, vertical leg measures 10 units b. horizontal leg measures 4 units, vertical leg measures 10 units c. horizontal leg measures 6 units, vertical leg measures

Step-by-step answer

P Answered by Specialist

15

I'm assuming you have or are taking trigonometry because that is how I solved this. First find the angle between the hypotenuse and the horizontal leg. To do this I took the inverse tangent of 5/2 (opposite/adjacent). Notice how I took the inverse tangent of the vertical leg/ horizontal leg. My calculator showed the answer to be about 68 degrees. Because of some angle laws (I'm not sure which ones, just trust me) that angle in each triangle on that line (the one between the horizontal component and the hypotenuse) must all have the same degree measure. Thus, test each answer by finding the inverse tangent of the vertical leg/horizontal leg. If the answer is about 68 degrees, that triangle could be on the line as well.

A. invtan(10/8)≈51
B. invtan(10/4)≈68
C. invtan(15/6)≈68
D. invtan(25/10)≈68

Mathematics

Two right triangles with the following dimensions are graphed with their hypotenuses on the same line: triangle x: horizontal leg measures 4 units vertical leg measures 5 units triangle y: horizontal leg measures 6 units vertical leg measures 7.5 units which other triangles could also have their hypotenuse on the same line? choose all answers that are correct. a.horizontal leg measures 8 units, vertical leg measures 10 units b.horizontal leg measures 3 units, vertical leg measures 3.75 units c.horizontal leg measures 10 units, vertical leg measures

Step-by-step answer

P Answered by Master

11

Triangle X: 4/5=0.8
Triangle Y: 6/7.5=0.8
(Select the triangles with legs at a ratio of 0.8)

A: 8/10=0.8
B: 3/3.75=0.8
C: 10/12=0.8333333333
D: 12/15=0.8

A, B, and D

I must add though, the wording of this question is very bad.

Mathematics

Two right triangles with the following dimensions are graphed with their hypotenuses on the same line: triangle x: horizontal leg measures 4 units vertical leg measures 5 units triangle y: horizontal leg measures 6 units vertical leg measures 7.5 units which other triangles could also have their hypotenuse on the same line? choose all answers that are correct. a.horizontal leg measures 8 units, vertical leg measures 10 units b.horizontal leg measures 3 units, vertical leg measures 3.75 units c.horizontal leg measures 10 units, vertical leg measures

Step-by-step answer

P Answered by Specialist

11

Triangle X: 4/5=0.8
Triangle Y: 6/7.5=0.8
(Select the triangles with legs at a ratio of 0.8)

A: 8/10=0.8
B: 3/3.75=0.8
C: 10/12=0.8333333333
D: 12/15=0.8

A, B, and D

I must add though, the wording of this question is very bad.

Mathematics

Use the image below to answer the following question. what relationship do the ratios of sin x° and cos y° share? a right triangle is shown. the two angles that are not 90 degrees are marked x and y. the leg across from angle y measuring 8, another leg across from angle x measuring 6, and the hypotenuse measuring 10. the ratios are opposites (negative 6 over 10 and 6 over 10). the ratios are reciprocals (6 over 10 and 10 over 6). the ratios are both negative (negative 10 over 6 and negative 10 over 6). the ratios are both identical (6 over 10 and

Step-by-step answer

P Answered by PhD

Answer: is correct B. the ratios are both identical (five thirteenths and five thirteenths).
First you have to find what cosine and sine are equal to. Sine is equal to Opposite/Hypotenuse and Co sine I adjecant/hypotenuse. And if you take the Sine from X you would get 5/13 because the opposite side is 5 and the hypotenuse is 13. And if you are going to get cosine from the Y you would see the adjecant is 5 and the hypotenuse is 13. So the Cosine is 5/13. That means they are identical.

Mathematics

53. A right triangle has a hypotenuse measuring 15 inches and one leg measuring 9 inches What is the length, in inches, of the other leg of the triangle? A. 3 B.6 C. 10 D. 12

Step-by-step answer

P Answered by Specialist

D

Step-by-step explanation:

Pythagorean

$x^{2} + 9^{2} = 15^{2}$ (x>0)