Question

Find the value of x. Round the length to the nearest tenth. Diagram is not drawn to scale.
A.7.2ft
B.6.9ft
C.13.9ft
D.9.7ft

Answer 1

Answer:

(A) $x=7.2 ft$

Step-by-step explanation:

Given: A triangle whose base angle is 44° and hypotenuse is 10ft.

To find: The value of x.

solution: Using the trigonometry, we have

$\frac{x}{10}=cos44^{{\circ}}$

⇒$x=10{\times}cos44^{{\circ}}$

⇒$x=10{\times}0.72$

⇒$x=7.2 ft$

Thus,the value of $x=7.2 ft$

Answer 2

Answer: A. 7.2 ft

Step-by-step explanation:

Given: A right triangle with hypotenuse 10 ft and base angle $44^{\circ}$

By using Trigonometry, we have

$\cos (44^{\circ})=\frac{\text{side adjacent to }44^{\circ}}{\text{hypotenuse}}\\\\\Rightarrow \cos (44^{\circ})=\frac{x}{10}\\\\\Rightarrow0.71933980033=\frac{x}{10}\\\\\Rightarrow\ x=10\times0.71933980033=7.1933980033\approx7.2\ ft.$

Hence, the value of x = 7.2 ft.