The figure below shows a rectangle with a diagonal drawn.
1 answer:
Answer:
<u>Option B. sin(s) = cos(u)</u>
Step-by-step explanation:
The rest of the question is the attached figure.
Complementary angles - two angles that add to 90 degrees.
The sine of one of them will be equal to the cosine of other angle.
For the attached figure:
The set all complementary angles are:
- angle s and angle t
- angle u and angle v
- angle s and angle u
- angle t and angle v
We will check the options:
A. sin(t) = sin(u) ⇒(<u>wrong</u>) because t and u are not complementary angles
B. sin(s) = cos(u) ⇒ (<u>True</u>) ⇒ s and u are complementary angles and sine of one of them will be equal to the cosine of other angle.
C. cos(s) = sin(v) ⇒(<u>wrong</u>) because t and u are not complementary angles
D. cos(t) = cos(v) ⇒(<u>wrong</u>) because t and v are complementary angles but sine of one of them should be equal to the cosine of other angle.
<u>The answer is option B. sin(s) = cos(u)</u>
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Answer:
<u>p = 21.4 cm</u>
<u>∠P = 44°</u>
Step-by-step explanation:
Apply the Pythagorean Theorem to solve for the length of p.
- p² + 21² = 30²
- p² = 900 - 441
- p² = 459
- p = √459
Now, take the inverse sine function to find angle P :
- sin⁻¹ (opposite side / hypotenuse)
- sin⁻¹ (21/30)
- sin⁻¹ (0.7)
(approximately)