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Gnom [1K]
3 years ago
8

It usually took josh 2/5 of an hour to ride his bike to work. But on Monday, his bike was broken, so he took the bus to work whi

ch took 5/8 of an hour. How much longer was it to take the bus to work?
Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0

Answer: taking the bus to work takes 13 minutes longer.

Step-by-step explanation:

It usually took josh 2/5 of an hour to ride his bike to work. This means that the number of hours that it took Josh to ride his bike to work is

2/5 × 60 = 24 minutes

But on Monday, his bike was broken, so he took the bus to work which took 5/8 of an hour. This means that the amount of time that it took Josh spent on the bus to work is

5/8 × 60 = 37.5 minutes

The difference between the time spent riding the bike and time spent on the bus is

37.5 - 24 = 13 minutes

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Answer:

<em>x = 3</em>

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.

The tangent ratio relates the opposite leg with the adjacent leg. Please note the given side is the opposite leg to 60° and x is the adjacent leg to 60°, thus we apply the tangent ratio:

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