Answer:
<h3><u>Firs</u><u>t</u><u> </u><u>q</u><u>uestion</u></h3>
To find ? we use sine
sin ∅ = opposite / hypotenuse
From the question
The hypotenuse is 50
The opposite is 25
So we have
sin ? = 25 / 50
sin ? = 1/2
? = sin-¹ 1/2
<h2>? = 30°</h2>
<h3><u>Sec</u><u>ond</u><u> </u><u>q</u><u>uestion</u></h3>
To find ? we use tan
tan ∅ = opposite / adjacent
From the question
the opposite is 8
the adjacent is 33
So we have
tan ? = 8/33
? = tan-¹ 8/33
? = 13.62
<h3>? = 14° to the nearest degree</h3>
Hope this helps you
Answer:
B
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
6 * 5 is 30 6*2 is 12
The two triangles we can see in the diagram are similar, which means that their measurements are proportional. Line MN on the larger triangle MNP is 71.5ft long, and its corresponding line, MA, on the smaller triangle is 71.5-22= 49.5ft long. This means that the scale factor from the bigger to the smaller triangle is 71.5/49.5=13/9.
If line MP on the bigger rectangle is 97.5ft long, then its corresponding line, MB, must be 97.5÷13/9=67.5 ft long.
Therefore, x=67.5 ft