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Solve for x. Round to the nearest tenth,if necessary

Solve for x. Round to the nearest tenth,if necessary-example-1
User ImpGuard
by
7.3k points

2 Answers

5 votes

Answer:

83.7

Explanation:

We can solve this using SOHCAHTOA:

RQ is adjacent to angle Q and x is the hypotenuse, so we must use the cosine function.


cosQ = (RQ)/(SQ)\\ cos(48) = (56)/(x)\\ x = (56)/(cos(48))\\ x = 83.7

User Rchukh
by
7.9k points
6 votes

Answer:

x = 83.7 units

Explanation:

  • given adjacent: 56, given angle: 48°, asked to find hypotenuse, x?

Using cosine rule:

→ adjacent/hypotenuse = cos(∅)

→ 56/hypotenuse = cos(48)

→ hypotenuse = 56/cos(48)

→ hypotenuse = 83.7 units

User Nathaniel Flick
by
7.4k points

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