For this problem, here’s how you do it.
Answer:
62.2° (or 1.1 rad)
Step-by-step explanation:
Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.
Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.
∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°
Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.
α ≈ 90° - 27.82° = 62.18°
or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad
See above for properly rounded values.
Answer:
answer
Step-by-step explanation:
7
+6
By applying <em>radical</em>, <em>power</em> and <em>rational</em> properties we have the following results after simplifying expressions:

- x

- x
<h3>How to reduce radical and rational expressions into a single power expression with rational exponent</h3>
In this question we need to simplify four given expressions by using the following <em>radical</em> and <em>power</em> properties:
(1)
(2)
(3)
(4)
Now we proceed to simplify each of the four expressions:
![\sqrt[4]{x^{3}} = x^{3/4}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B3%7D%7D%20%3D%20x%5E%7B3%2F4%7D)

![\sqrt[10]{x^{5}\cdot x^{4}\cdot x^{2}} = \sqrt[10]{x^{11}} = x^{\frac{11}{10} }](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7Bx%5E%7B5%7D%5Ccdot%20x%5E%7B4%7D%5Ccdot%20x%5E%7B2%7D%7D%20%3D%20%5Csqrt%5B10%5D%7Bx%5E%7B11%7D%7D%20%3D%20x%5E%7B%5Cfrac%7B11%7D%7B10%7D%20%7D)

To learn more on power functions: brainly.com/question/18719083
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Answer: 14
Step-by-step explanation: (3+8)*(10-8) = 14