What is the value of s? I'll mark first correct answer brainliest.

Mathematics

1 answer:

irinina [24]3 years ago

7 0

Answer:

s = 11.

Step-by-step explanation:

To find the value of 's', we can first use the Supplementary Angles theorem. If '12s' is the measure of the angle outside of the triangle, the angle inside the triangle must be equivalent to '180-12s'.

Since the sum of all of the angles of the triangle must be 180°, we can set up an equation to solve for 's':

180 = 45 + 10s - 23 + 180 - 12s (Subtract both sides by 180)

Simplify:

0= 45 + 10s - 23 - 12s (Subtract both sides by 45, and add 23 to both)

-22 = 10s - 12s

-22 = -2s (Divide both sides by -2)

s = 11.

You might be interested in

worty [1.4K]

The clouds are 226.68 meters above the spotlight.

Step-by-step explanation:

Step 1:

The angle measuring device is 65 meters from the spotlight and the angle of elevation from the ground to the spot of light is 74°.

So a right-angled triangle can be formed using these measurements. The angle of the triangle is 74° while the opposite side of the triangle measures x meters while the adjacent side of the triangle measures 65 meters.

We need to calculate the opposites side's length of the triangle.

Step 2:

Since we have the adjacent side's length and need to calculate the opposite side's length we use the tan of the given angle.

The opposite side of the triangle = x meters.

$\tan \theta = \frac{oppositeside}{adjacentside} = \frac{x}{65}.$