The constant in an algebraic expression is the number part of the expression for example.. IN 2x 2 is the constant it doesn't change and x is variable it may vary

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A 65 ft. long swimming pool is to be constructed. The pool will be 4 ft. deep at one end and 11 ft. deep at the other. To the ne

pishuonlain [190]

Answer:

Measure of the acute angle = 84°

Step-by-step explanation:

In the figure attached,

ABDE is a swimming pool having length 'AB' = 65 feet

Depth of one end of the pool is BE = 4 feet

And depth of the other end AD = 11 feet

Acute angle between the bottom of the pool (DE) and wall of the deep end (AD) is ∠ADE.

Now from ΔCDE,

tanx = $\frac{EC}{DC}$

tanx = $\frac{7}{65}$

x = $\text{tan}^{-1}(\frac{7}{65})$

x = 6.15°

Now measure of acute angle the bottom of the pool makes with wall at he deep end,

m∠ADE = (90 - 6.15)°

= 83.85°

≈ 84°

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