Answer:
The area of the parallelogram is 0.1875 mile² ⇒ D
Step-by-step explanation:
The formula of the area of a parallelogram is A = b1 × h1 = b2 × h2, where
- b1 and b2 are two adjacent sides of it
- h1 and h2 are the heights perpendicular to these bases
In the given figure
∵ There is a parallelogram
∵ One of its bases is 0.25 mile
∴ b1 = 0.25 mile
∵ the height of this base is 0.75 mile
∴ h1 = 0.75 mile
→ By using the rule of the area above
∴ The area of the parallelogram = 0.25 × 0.75
∴ The area of the parallelogram = 0.1875 mile²
∴ The area of the parallelogram is 0.1875 mile²
Answer:
72
Step-by-step explanation:
You use Pythagorean Theorem to to find the missing side which in this case is 6 and since and then from there you just add
Answer:
8.7°
Step-by-step explanation:
The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.
The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:
base² = 43² + 15²
base² = 2074
base = 45.54 m
Using trigonometric function to find angle A:
tan(A) = base / height
tan(A) = 45.54 / 7
tan(A) = 6.506
A = tan⁻¹ (6.506)
A = 81.3°
Angle of depression = 90° - A = 90 - 81.3
Angle of depression = = 8.7°
D is the correct answer you can also use desmos just search it up!