Using the Pythagorean theorem where:
b^2 = c^2 - a^2
Let x be the value for b.
x^2 = 13.7^2 - 5.2^2
= 187.69 - 27.04
=√160.65
= 12.67
Hence x = 12.67
Answer:
$508.79 .............................................................
From the first equation
6x - y = 1
6x - y - 1 = 0
6x - 1 = y
Substituting we get
4x - 3(6x - 1) = -11
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.