Step-by-step explanation: So, first you simplify both sides of the equation which, would look like this after, -6x+32=20. After that, you subtract 32 from both sides which will look like this after -6x=-12. Then you would divide each side by -6 which will get x=2. Hope this helps!

4 0

3 years ago

A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. How tall is the tower? Round answer t

r-ruslan [8.4K]

Answer: Tthe tower is 129 feet tall.

Step-by-step explanation:

According to trigonometry in a right triangle:

$\tan\theta =\dfrac{\text{Side opposite to }\theta}{\text{Side adjacent to }\theta}$

Let x be the height of the tower.

Given , $\theta=65^{\circ}$

Since tower stands vertical to the ground, that means it is making a right triangle with the shadow.

$\tan 65^{\circ}=\dfrac{x}{60}\\\\\Rightarrow\ 2.1445=\dfrac{x}{60}\ \ \text{[Using calculator]}\\\\\Rightarrow x= 2.1445\times60=128.67\approx129\text{ feet}$

Hence, the tower is 129 feet tall.

3 0

3 years ago

Question 4 Select Prism from the list of shapes. Set the number of lateral faces to five, and explore the cross sections of a pe

mixer [17]

Answer:

Step-by-step explanation:

3 0

4 years ago

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