Answer:
165.8 ft (nearest tenth)
Step-by-step explanation:
We can use the tan trig ratio to calculate the height of the tower.
where:
= the angle- O = the side opposite the angle
- A = the side adjacent the angle
From inspection of the diagram:
- = 37°
- O = height of tower (let's call this h)
- A = 220 ft
Substituting these values into the trig tan ratio:
Multiply both sides by 220:
Therefore, the height of the tower is 165.8 ft (nearest tenth)
<em>Hey</em><em>!</em><em>!</em>
<em>1</em><em> </em><em>and </em><em>2</em><em> </em><em>are</em><em> </em><em>vertical</em><em> </em><em>angles</em><em>.</em>
<em>Vertically</em><em> </em><em>opp</em><em>osite</em><em> </em><em>angles</em><em> </em><em>are</em><em> </em><em>always</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>each</em><em> </em><em>other</em><em>.</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em>
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Answer:
12.5 cm
Step-by-step explanation:
The ratio of map distance to ground distance is the same at any distance:
(map distance)/(ground distance) = (5 cm)/(2 km) = (x)/(5 km)
Multiply by 5 km and you have ...
x = (5 cm)(5/2) = 12.5 cm
The ground distance of 5 km is represented by 12.5 cm on the map.
It proves The function f(x) is an arithmetic sequence.
