Draw a diagram to illustrate the problem as shown in the figure below.
Let h the height of the hill. =
At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.
By definition,
tan(40°) = h/x h = x tan40 = 0.8391x
(1)
At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is
40 + 18 = 58°.
By definition, tan(58°) = h/(x - 450)
h = (x - 450) tan(58°) = 1.6003(x-450)
h = 1.6003x - 720.135 (2)
Equate (1) and (2).
1.6003x - 720.135 = 0.8391x 0.7612x = 720.135
x = 946.0523
From (1), obtain
h = 0.8391*946.0523 = 793.8 ft
Answer: The height of the hill is approximately 794 ft (nearest integer)
Answer:
a) -0.25
b) 1
c)0
Step-by-step explanation:
a) 0.25 + (-0.25)=0
b) -5*1=-5
c) 0*(-6)=0
Answer: 
Step-by-step explanation:
In order to round to the nearest thousandth, you must observe the digit to the right of the digit in the thousandth place and then:
- If it is less than 5, you must round down.
- If it is greater than or equal than 5, you must round up.
In this case, given the number:
You can notice that the digit to the right of the digit in the thousandth place is 9.
Since 
, you must round up. Then:
Finally, to express this as a single-digit times a power of ten, move the decimal point three places to the right. Then you get:
Answer:
24.6967 meters
Step-by-step explanation:
The roots of the tree go 6 and 5 over 12 meters below the ground level.
Now, 6 and 5 over 12 meters is equivalent to 6.4167 meters.
Again the top of the tree is 18.28 meters high from the ground level.
Therefore, the total height of the tree from the bottom of the root to the top is
(6.4167 +18.28) = 24.6967 meters (Answer)
Answer: Triangle QRS is an isosceles triangle because QR = RS.
. Step-by-step explanation: Find the length of each side of the triangle using the formula for calculating the distance between two points.
Step-by-step explanation:
