This is the concept of application of trigonometry;
The height of the tree will be given by:
tan theta=opposite/adjacent
theta=65
opposite=h
adjacent= 10
thus;
tan 65=h/10
h=10 tan 65
h=21.45 m
The distance between the dog and the man is x;
the distance of the man to the tree is (x+10) m
this will be given by:
tan 50= 21.45/(10+x)
getting the reciprocal of the expression we get;
1/tan 50=(10+x)/21.45
cross multiplying the above expression we get;
21.45=(10+x)tan 50
21.45=(10+x)1.2
21.45=12+1.2x
1.2x=21.45-12
1.2x=9.45
x=9.45/1.2
x=7.875
We conclude that the distance of the Firefighter and the dog is x=7.875 m
Answer:
reflect over y-axis and then translate 1 unit up
hope this helped
Answer:
Step-bAmount at the end of 2 years = Rs. 21,160
Amount at the end of first year = Rs. 18,400
So interest for first year = Rs. 2400
Interest for second year = Rs. 2760
Explanation:
A = P (1 + r/n)^nt
P = 16,000
A = ?
r = 15% = 15/100
n= 1
t = 2
Substituting the values in the formula, we get:
A = 16000 (1 + 15 / 100) ^2
A = 16000 (23 / 20) ^2
A = 16000 * 23 * 23 / 400
A = 40 * 23 * 23
A = 21160
Amount at the end of 2 years = Rs. 21,160
Amount at the end of first year = Rs. 18,400
So interest for first year = Rs. 2400
Interest for second year = Rs. 2760
hope helpful
-452°F < 212°F
A negative number is always less than a positive number.
Given :
Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%.
Its current value is $2,000.
To Find :
Age of car.
Solution :
Price of car after 1 year :
Price of car after 2 year :
\\\\P_2=P_o(1-0.35)^2](https://tex.z-dn.net/?f=P_2%3DP_1%281-0.35%29%5C%5C%5C%5CP_2%3D%5BP_o%281-0.35%29%5D%281-0.35%29%5C%5C%5C%5CP_2%3DP_o%281-0.35%29%5E2)
So, price of car after n years.
Therefore, age of car in nearest whole number is 4 years.
Hence, this is the required solution.
