A Blimp is 400 feet in the air. There is an angle of depression of 40 degrees to a football stadium. How far is the Blimp from t
he stadium?
1 answer:
Answer:
Step-by-step explanation:
The diagram of the stadium and the blimp is shown in the attached photo. A right angle triangle, ABC is formed. Angle A is alternate to the angle of depression. This mean that they are equal. So angle A =40 degrees.
The distance of the the Blimp from the stadium is x feet which is the hypotenuse of the triangle.
Applying trigonometric ratio,
Sin 40 = 400/x
xsin40 = 400
x = 400/sin40 = 400 / 0.6428
x = 622.3 feet
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Answer:
(x - 4)(x + 4)(x - 1)(x + 1)
Step-by-step explanation:
Given
- 17x² + 16
Use the substitution u = x², then
u² - 17u + 16
Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)
The factors are - 16 and - 1, then
u² - 17u + 16
= (u - 16)(u - 1) ← replace u by x²
= (x² - 16)(x² - 1) ← both factors are difference of squares
= (x - 4)(x + 4)(x - 1)(x + 1)