Find the value of x in the given right triangle

hi <3

you can use the sine rule in this.

first calculate the missing angle in the triangle.

we know the angles in a triangle sum to 180 so:

180 - 37 - 90 = 53

now, simply input these values into the sine rule

10/sin(53) = x/sin(37)

rearrange for x:

x = (10/sin53) x sin37

solve to get your answer of:

x = 7.5

hope this helps :)

tanx=opposite side

       adjacent side

tan(37)=x

              10

x=tan(37)x10 (take cross multipication)

x=(0.753554)x10

x=7.53554

x=8

Step-by-step explanation:

1st integer x

2nd integer x+1

3rd integer x+2

4th integer x+3

x+x+1 +x+2+x+3 =74

combine like terms

4x+6 = 74

subtract 6 from each side

4x = 68

x = 17

the integers are 17,18,19,20