Astatue is mounted on top of a 42 foot hill. from the base of the hill to where you are standing is 73 feet and the statue subtends an angle of 10.3° to where you are standing. find the height of the statue.

  19.72 ft

Step-by-step explanation:

You know the tangent of an angle is the ratio of the opposite side to the adjacent side of the right triangle. So, the angle α to the bottom of the statue is ...

  tan(α) = (42 ft)/(73 ft)

  α = arctan(42/73) ≈ 29.914°

Then the angle to the top of the statue is ...

  β = 10.3° +29.914° = 40.214°

The same tangent relationship tells us the height to the top of the statue from the base of the hill is ...

  tan(β) = (height to top)/(73 ft)

Multiplying by 73 ft gives ...

  height to top of statue = (73 ft)·tan(40.214°) = 61.72 ft

So, the height of the statue is the difference between the heights of its top and its base:

  statue height = 61.72 ft - 42 ft

  statue height = 19.72 ft

0

step-by-step explanation:

you can not divide by 0 so 4 ÷ 0 would be 0

0 × 9999 =0

mark brainliest   : )

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.