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1 answer:
The given number sentence is simplified as 1 3/5
<u>Step-by-step explanation:</u>
The given number sentence is 2-4/5 x 1/2
- In order to solve this, the operations must be performed based on the BODMAS rule.
- This means that, the operations should be performed in the order of Bracket, Of, Division, Multiplication, Addition and Subtraction.
Here, based on that above rule, the multiplication must be done in the first step and then subtraction should be done in the next step.
⇒ 2 - 4/5 × 1/2
⇒ 2 - 4/10
⇒ 2 - 2/5
Therefore, the given expression is reduced to 2- 2/5
cross multiply the denominator 5
⇒ (10-2) / 5
⇒ 8/5
Now, the expression is reduced to single term 8/5.
To further reduce the term, divide 8 by 5.
- The quotient is 1.
- The remainder is 3.
- The divisor is 5.
The answer is written in the form of
⇒ 1 3/5
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Answer:
881.5 meters.
Step-by-step explanation:
The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.
The height of the cliff = x + y
Applying the appropriate trigonometry functions.
To determine the value of x;
Tan θ =
Tan =
⇒ x = 490 x Tan
= 490 x 0.7265
= 355.985
x = 356 meters
To determine the value of y;
Tan θ =
Tan =
⇒ y = 490 x Tan
= 490 x 1.0724
= 525.476
y = 525.5 meters
Therefore,
The height of the cliff = x + y
= 355.985 + 525.476
= 881.461
The height of the cliff is 881.5 meters.