Answer:
29.7°
Step-by-step explanation:
In a right triangle representing the geometry of the problem, the side opposite the angle is the height of your observation (400 ft). The side adjacent to the angle is the distance from shore (700 ft).
You know the tangent ratio is ...
Tan = Opposite/Adjacent
so your angle of depression satisfies ...
tan(angle of depression) = (400 ft)/(700 ft)
Using the inverse function, we find ...
angle of depression = arctan(4/7) ≈ 29.745°
The angle of depression is about 29.7°.
Answer:
The second number is 61
Step-by-step explanation:
It's implied that the first integer is odd.
Since the consecutive intergers are odd, use an equation that looks like this:
(x+2) + (x+2) + (x+2) = 183 and simplify
*If you add 2 to an odd number, you get the next odd number. That's why I used 2*
3x + 6 = 183 → 3x = 177 → x = 59 which means the first integer is 59. The consecutive integers is 59, 61, 63.
Methodically:
1 = 1*1 = 1 factor
2 = 1*2 = 2 factors
3 = 1*3 = 2 factors
4 = 1*4 = 2*2 = 3 factors
Therefore, 4 is the lowest number with 3 different factors
She can ride a bike 7 miles per hour
