Question

If = 27° and y = 17 cm, what is the value of z to the nearest tenth of a centimeter?

Answer 1

Answer:17

Step-by-step explanation:

Answer 2

Correct Question: If a = 27° and y = 17 cm, what is the value of z to the nearest tenth of a centimeter?

The value of x to the nearest tenth of a centimeter is 51.1 cm.

Given:

∠a = 27°

Hypotenuse y = 17 cm

To Find:

The measure of base z

Solution:

The given triangle is a right-angled triangle.

In which one angle is 90° and sides containing 90° are base and perpendicular.

We can apply cos(a) to find the measure of base z.

$\implies cos(27^{\circ}) = \frac{z}{y}\\\\\implies cos(27^{\circ}) = \frac{z}{17}\\\\\implies cos(27^{\circ}) \times 17= z\\\\\implies z = 15.1 cm$

Therefore, the base z to the nearest tenth of a centimeter is 51.1 cm.

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