Calculate x to correct 1 decimal place

x = 6.4 cm

explanation:

opposite/adjacent = tan(52)

opposite = 5 * tan(52)

opposite, x = 6.4 cm

Step-by-step explanation:

tan(50) * y = x

both expressions are equal to x, so both expressions must be equal to each other.

you get tan(25) * (y + 10) = tan(50) * y

simplify to get tan(25) * y + tan(25) * 10 = tan(50) * y

subtract tan(25) * y from both sides of the equation to get:

tan(25) * 10 = tan(50) * y - tan(25) * y

factor the right side of the equation to get:

tan(25) * 10 = y * (tan(50) - tan(25))

divide both sides of the equation by (tan(50) - tan(25)) to get:

tan(25) * 10 / (tan(50) - tan(25)) = y

solve for y to get y = 6.427876097

since you know that tan(50) = x/y, then solve for x to get x = y * tan(50).

this results in x = 7.660444431

round it to 1 decimal place and your solution is that : 7.7

answer: 75°

step-by-step explanation:

∠esk is the supplement of ∠edk, so is 100°. ∠esd = 1/2·arc ed, so is 25°.

since ∠esk = ∠esd + ∠dsk

you have 100° = 25° + ∠dsk . .

fill in known values 75° = ∠dsk . . . . .

subtract 25°

step-by-step explanation: