Answer:
see explanation
Step-by-step explanation:
To find x use the sine ratio in the right triangle and the exact value
sin60° = , then
sin60° = =
=
( cross- multiply )
x = 28
( divide both sides by
)
x = 28
-----------------------------------------------------------
To find y use the tangent ratio in the right triangle and the exact value
tan60° = , then
tan60° = =
=
( multiply both sides by y )
14 = y
( divide both sides by
)
y = 14
Answer:
1. 0.8 cm
2. 1.6 cm
Step-by-step explanation:
1.
The scale for 2nd map is 1 cm to 50 km, that means "1 cm on map" is "50 km in real life".
We already know distance from Cleveland to Cincinnati is 40 km, which is less than 50, so we know the distance on map would be less than 1 cm.
So we set up ratio and figure out (let x be distance on map from Cleveland to Cincinnati):
Hene, 0.8 centimeters would be the distance in 2nd map
2.
A scale of 1:50 means 1 cm equal 50 cm
So, 0.8m would be
0.8 * 100 = 80 cm
Hence, 80 cm would be represented by 80/50 on the map, that is:
That is 1.6 centimeters
