Answer:
Approximately 485 meters
Step-by-step explanation:
We can first construct a right triangle, using the 500 m length of hill as our hypotenuse. Using the fact that the cosine of an angle is the ratio of the adjacent side to the hypotenuse, we see that

where x is the horizontal distance covered. Solving for x, we find this horizontal distance to be

so our answer is approximately 485 m.
Answer:
a) 1.59967 * 10 ^-12b) 7.52711497c) 1.590778098 * 10^-
-v-
Step-by-step explanation:
Answer:
8.4cm
Step-by-step explanation:
In a circle, d = 2r, so d = 2 * 4.2cm = 8.4cm
a) The length of p is 21.4 cm
b) The measure of angle P is 45.6°
<h3>Trigonometry </h3>
From the question, we are to determine the length of p
From the <em>Pythagorean theorem</em>, we can write that
30² = 21² + p²
p² = 30² - 21²
p² = 900 - 441
p² = 459
p = √459
p = 21.4 cm
∴ The length of p is 21.4 cm
b)
Measure of angle P
Using SOH CAH TOA

cos P = 0.7
P = cos⁻¹(0.7)
P = 45.6°
Hence, the measure of angle P is 45.6°
Learn more on Trigonometry here: brainly.com/question/17831932
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Answer:
xy=2
Step-by-step explanation
2x + 3y =12
First divide 2 on both sides of the equation, than divide 3 on both sides of the equation.