Brayden and Aubrey are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Brayde
n is 280 miles away from the stadium and Aubrey is 340 miles away from the stadium. Brayden is driving along the highway at a speed of 30 miles per hour and Aubrey is driving at speed of 40 miles per hour. Let
B
B represent Brayden's distance, in miles, away from the stadium
t
t hours after noon. Let
A
A represent Aubrey's distance, in miles, away from the stadium
t
t hours after noon. Graph each function and determine the number hours after noon,
t
,
t, when Brayden and Aubrey are the same distance from the stadium.
B
B represent Brayden's distance, in miles, away from the stadium
t
t hours after noon. Let
A
A represent Aubrey's distance, in miles, away from the stadium
t
t hours after noon. Graph each function and determine the number hours after noon,
t
,
t, when Brayden and Aubrey are the same distance from the stadium.
1 answer:
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Option C:
x = 90°
Solution:
Given equation:
<u>To find the degree:</u>
Subtract 1 + cos²x from both sides.
Using the trigonometric identity:
Let sin x = u
Factor the quadratic equation.
u + 2 = 0, u – 1 = 0
u = –2, u = 1
That is sin x = –2, sin x = 1
sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.
sin x = 1
The value of sin is 1 for 90°.
x = 90°.
Option C is the correct answer.