In ΔHIJ, the measure of ∠J=90°, IJ = 3.2 feet, and JH = 9.6 feet. Find the measure of ∠H to the nearest tenth of a degree.

Answer :

The measure of ∠H in the ΔHIJ to the nearest tenth is 18.4 ft.

What is a right angle triangle?

Right angle triangle are triangles that have one of its angles as 90 degrees. The sides can be found using trigonometric ratios. Therefore, the measure of ∠H can be found as follows:

tan ∠H = opposite / adjacent

tan ∠H = 3.2 / 9.6

Therefore,

∠H = tan⁻¹ 0.33333333333

∠H = 18.434948651

∠H = 18.4 ft

Therefore, the value of ∠H to the nearest tenth is 18.4 ft

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