4(a x b)=(4 x a)b is an example of which algebraic property
1 answer:
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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°
Answer:
x = (3√2)/2
Step-by-step explanation:
In the isosceles right triangle the side lengths have the ratio ...
1 : 1 : √2
This means the short leg (x) is 1/√2 times the length of the hypotenuse. You want the ratio with a rational denominator, so you need to multiply numerator and denominator by √2.