Answer:
s = 35pi units
We can either leave it with pi in the answer or approximate
s= 109.9557429 units
Step-by-step explanation:
Arc length is found by
s = r * theta where r is the radius and theta is given in radians
Changing the angle from 150 degrees to radians by multiplying by pi/180
150 *pi/180 = 5/6 pi
Now we can use the formula
s = 42 * 5/6 pi
s = 35pi
We can either leave it with pi in the answer or approximate
s= 109.9557429 units
Answer:
Length of the shadow of the pole is 6.93 metres
Step-by-step explanation:
Given:
Height of the pole = 4 m
The angle sun makes with the horizontal = 30 degrees
To Find:
Length of the shadow of the pole = ?
Solution:
The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta
Let x be the length of the shadow
According to the tangent ratio

On substituting the values,



x = 6.93 m
The answer to that would be “169”
The given scale for the map means that a distance of 1 cm between two locations on the map corresponds to a real distance between them of 600,000 cm = 6 km.
So, if the distance between two places in reality is 87 km, on the map this would be represented by a distance of 14.5 cm, since
87 = 84 + 3
87 = 6 • 14 + 6 • (1/2)
87 = 6 • (14 + 1/2)
I got -19/655 and i know for sure this isnt the correct answer.