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:
D, E.
Step-by-step explanation:
<u>Simplify</u><u> </u><u>the</u><u> </u><u>expression</u><u> </u><u>inside</u><u> </u><u>the</u><u> </u><u>parentheses</u><u>:</u>
<u>Multiply:</u>
<u>Substitute each value provided for a:</u>
Opt A. 123 < 6(18) = 123 < 108. Incorrect option.
Opt B. 123 < 6(19) = 123 < 114. Incorrect option.
Opt C. 123 < 6(20) = 123 < 120. Incorrect option.
Opt D. 123 < 6(22) = 123 < 132. Correct option.
Opt E. 123 < 6(24) = 123 < 144. Correct option.
The correct statement is D.
Step-by-step explanation:
Given,
For backyard
Length = 5x-2
Width = 2x+4
For house
Length = 5x-2
Width = 4x-12
For driveway
Length = x+10
Width = 4x-12
To find the correct statement.
Formula
The area of a rectangle = Length × Width
So,
The area of the house and the driveway = (5x-2)(4x-12) + (x+10)(4x-12)
= (4x-12)(5x-2+x+10)
= (4x-12)(6x+8)
=
=
So, the correct statement is D
You can cross check the other statements.