Answer:
41.04 meters
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. The initial position is given by A. The tree is denoted as C and the fence post is denoted as B. Since the use of sine rule will complicate the question, it will be easier to solve this question using the cosine rule. Therefore, cosine rule will be used to calculate the length of BC. The cosine rule is:
BC^2 = AB^2 + AC^2 - 2*AB*AC*cos(BAC).
The question specifies that AC = 70 meters, BAC = 25°, and AB = 35 meters. Plugging in the values:
BC^2 = 35^2 + 70^2 - 2(35)(70)*cos(25°).
Simplifying gives:
BC^2 = 1684.091844.
Taking square root on the both sides gives BC = 41.04 meters (rounded to two decimal places).
Therefore, the distance between the point on the tree to the point on the fence post is 41.04 meters!!!
Answer:
D. y = x - 3
Step-by-step explanation:
Parallel lines are when 2 lines have the same slope but different y-intercepts.
Answer:
Step-by-step explanation:
Population t years after 2000 = 736,000 × 1.0149^t
736,000 × 1.0149^t = 1,000,000
1.0149^t = 1,000,000/736,000 = 125/92
Take log base 1.0149 of both sides
t ≈ 20.7
Population exceeds a million in 2021
∗ l = 50.6 ft
∗ w = ?
∗ The length is 50.6 feet. The question is saying that 50.6 is 5.8 feet less than 6 times the width.
∗ 6w - 5.8 = 50.6
∗ 6w = 56.4
∗ w = 9.4
Now lets check.
∗ If the length is 5.8 feet less than 6 times the width, and we found 9.4 as the answer, then;
6 times 9.4 - 5.8 should equal 50.6
∗ 6 • 9.4 - 5.8 = l
∗ 56.4 - 5.8 = l
∗ 50.6 = l
⋆The width is 9.4 feet⋆
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